Relevant bibliographies by topics / Moduli space

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Moduli space'

Author: Grafiati
Published: 4 June 2021
Last updated: 8 June 2024

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Journal articles on the topic "Moduli space"

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Chai, Ching-Li. "moduli space." Duke Mathematical Journal 82, no. 3 (March 1996): 725–54. http://dx.doi.org/10.1215/s0012-7094-96-08230-7.

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Manolache, Cristina. "Stable maps and stable quotients." Compositio Mathematica 150, no. 9 (July 17, 2014): 1457–81. http://dx.doi.org/10.1112/s0010437x14007258.

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AbstractWe analyze the relationship between two compactifications of the moduli space of maps from curves to a Grassmannian: the Kontsevich moduli space of stable maps and the Marian–Oprea–Pandharipande moduli space of stable quotients. We construct a moduli space which dominates both the moduli space of stable maps to a Grassmannian and the moduli space of stable quotients, and equip our moduli space with a virtual fundamental class. We relate the virtual fundamental classes of all three moduli spaces using the virtual push-forward formula. This gives a new proof of a theorem of Marian–Oprea–Pandharipande: that enumerative invariants defined as intersection numbers in the stable quotient moduli space coincide with Gromov–Witten invariants.
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Frühbis-Krüger, Anne. "Computing moduli spaces for space curve singularities." Journal of Pure and Applied Algebra 164, no. 1-2 (October 2001): 165–78. http://dx.doi.org/10.1016/s0022-4049(00)00152-3.

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Sato, Matsuo. "Moduli Space in Homological Mirror Symmetry." Advances in Mathematical Physics 2019 (April 30, 2019): 1–11. http://dx.doi.org/10.1155/2019/1693102.

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We prove that the moduli space of the pseudo holomorphic curves in the A-model on a symplectic torus is homeomorphic to a moduli space of Feynman diagrams in the configuration space of the morphisms in the B-model on the corresponding elliptic curve. These moduli spaces determine the A∞ structure of the both models.
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Farkas, Gavril, and Rahul Pandharipande. "THE MODULI SPACE OF TWISTED CANONICAL DIVISORS." Journal of the Institute of Mathematics of Jussieu 17, no. 3 (April 5, 2016): 615–72. http://dx.doi.org/10.1017/s1474748016000128.

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The moduli space of canonical divisors (with prescribed zeros and poles) on nonsingular curves is not compact since the curve may degenerate. We define a proper moduli space of twisted canonical divisors in $\overline{{\mathcal{M}}}_{g,n}$ which includes the space of canonical divisors as an open subset. The theory leads to geometric/combinatorial constraints on the closures of the moduli spaces of canonical divisors.In case the differentials have at least one pole (the strictly meromorphic case), the moduli spaces of twisted canonical divisors on genus $g$ curves are of pure codimension $g$ in $\overline{{\mathcal{M}}}_{g,n}$. In addition to the closure of the canonical divisors on nonsingular curves, the moduli spaces have virtual components. In the Appendix A, a complete proposal relating the sum of the fundamental classes of all components (with intrinsic multiplicities) to a formula of Pixton is proposed. The result is a precise and explicit conjecture in the tautological ring for the weighted fundamental class of the moduli spaces of twisted canonical divisors.As a consequence of the conjecture, the classes of the closures of the moduli spaces of canonical divisors on nonsingular curves are determined (both in the holomorphic and meromorphic cases).
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Diez, Tobias, and Gerd Rudolph. "Normal form of equivariant maps in infinite dimensions." Annals of Global Analysis and Geometry 61, no. 1 (October 14, 2021): 159–213. http://dx.doi.org/10.1007/s10455-021-09777-2.

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AbstractLocal normal form theorems for smooth equivariant maps between infinite-dimensional manifolds are established. These normal form results are new even in finite dimensions. The proof is inspired by the Lyapunov–Schmidt reduction for dynamical systems and by the Kuranishi method for moduli spaces. It uses a slice theorem for Fréchet manifolds as the main technical tool. As a consequence, the abstract moduli space obtained by factorizing a level set of the equivariant map with respect to the group action carries the structure of a Kuranishi space, i.e., such moduli spaces are locally modeled on the quotient by a compact group of the zero set of a smooth map. The general results are applied to the moduli space of anti-self-dual instantons, the Seiberg–Witten moduli space and the moduli space of pseudoholomorphic curves.
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RADNELL, DAVID, and ERIC SCHIPPERS. "QUASISYMMETRIC SEWING IN RIGGED TEICHMÜLLER SPACE." Communications in Contemporary Mathematics 08, no. 04 (August 2006): 481–534. http://dx.doi.org/10.1142/s0219199706002210.

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One of the basic geometric objects in conformal field theory (CFT) is the moduli space of Riemann surfaces whose n boundaries are "rigged" with analytic parametrizations. The fundamental operation is the sewing of such surfaces using the parametrizations to identify points. An alternative model is the moduli space of n-punctured Riemann surfaces together with local biholomorphic coordinates at the punctures. We refer to both of these moduli spaces as the "rigged Riemann moduli space".By generalizing to quasisymmetric boundary parametrizations, and defining rigged Teichmüller spaces in both the border and puncture pictures, we prove the following results: (1) The Teichmüller space of a genus-g surface bordered by n closed curves covers the rigged Riemann and rigged Teichmüller moduli spaces of surfaces of the same type, and induces complex manifold structures on them; (2) With this complex structure, the sewing operation is holomorphic; (3) The border and puncture pictures of the rigged moduli and rigged Teichmüller spaces are biholomorphically equivalent.These results are necessary in rigorously defining CFT (in the sense of G. Segal), as well as for the construction of CFT from vertex operator algebras.
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MUKAI-HIDANO, MARIKO, and YOSHIHIRO OHNITA. "GEOMETRY OF THE MODULI SPACES OF HARMONIC MAPS INTO LIE GROUPS VIA GAUGE THEORY OVER RIEMANN SURFACES." International Journal of Mathematics 12, no. 03 (May 2001): 339–71. http://dx.doi.org/10.1142/s0129167x01000733.

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This paper aims to investigate the geometry of the moduli spaces of harmonic maps of compact Riemann surfaces into compact Lie groups or compact symmetric spaces. The approach here is to study the gauge theoretic equations for such harmonic maps and the moduli space of their solutions. We discuss the S1-action, the hyper-presymplectic structure, the energy function, the Hitchin map, the flag transforms on the moduli space, several kinds of subspaces in the moduli space, and the relationship among them, especially the structure of the critical point subset for the energy function on the moduli space. As results, we show that every uniton solution is a critical point of the energy function on the moduli space, and moreover we give a characterization of the fixed point subset fixed by S1-action in terms of a flag transform.
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BARRON, KATRINA. "THE MODULI SPACE OF N = 2 SUPER-RIEMANN SPHERES WITH TUBES." Communications in Contemporary Mathematics 09, no. 06 (December 2007): 857–940. http://dx.doi.org/10.1142/s0219199707002666.

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Within the framework of complex supergeometry and motivated by two-dimensional genus-zero holomorphic N = 2 superconformal field theory, we define the moduli space of N = 2 super-Riemann spheres with oriented and ordered half-infinite tubes (or equivalently, oriented and ordered punctures, and local superconformal coordinates vanishing at the punctures), modulo N = 2 superconformal equivalence. We develop a formal theory of infinitesimal N = 2 superconformal transformations based on a representation of the N = 2 Neveu–Schwarz algebra in terms of superderivations. In particular, via these infinitesimals we present the Lie supergroup of N = 2 superprojective transformations of the N = 2 super-Riemann sphere. We give a reformulation of the moduli space in terms of these infinitesimals. We introduce generalized N = 2 super-Riemann spheres with tubes and discuss some group structures associated to certain moduli spaces of both generalized and non-generalized N = 2 super-Riemann spheres. We define an action of the symmetric groups on the moduli space. Lastly we discuss the nonhomogeneous (versus homogeneous) coordinate system associated to N = 2 superconformal structures and the corresponding results in this coordinate system.
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Fialowski, Alice, and Michael Penkava. "Moduli spaces of low-dimensional Lie superalgebras." International Journal of Mathematics 32, no. 09 (July 3, 2021): 2150059. http://dx.doi.org/10.1142/s0129167x21500592.

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In this paper, we study moduli spaces of low-dimensional complex Lie superalgebras. We discover a similar pattern for the structure of these moduli spaces as we observed for ordinary Lie algebras, namely, that there is a stratification of the moduli space by projective orbifolds. The moduli spaces consist of some families as well as some singleton elements. The different strata are linked by jump deformations, which gives a unique manner of decomposing the moduli space which is consistent with deformation theory.
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Dissertations / Theses on the topic "Moduli space"

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Hakimi, Koopa. "Moduli space of sheaves on fans." Thesis, University of British Columbia, 2011. http://hdl.handle.net/2429/33974.

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A conjecture of H. Hopf states that if x(M²n) is a closed, Riemannian manifold of nonpositive sectional curvature, then its Euler characteristic x(M²n), should satify (-1)n x(M²n)≥ 0. Ruth Charney and Michael Davis investigated the conjecture in the context of piecewise Euclidean manifolds having "nonpositive curvature" in the sense of Gromov's CAT(0) inequality. In that context the conjecture can be reduced to a local version which predicts the sign of a "local Euler characteristic" at each vertex. They stated precisely various conjectures in their paper which we are interested in one of them stated as Conjecture D (see [1]) which is equivalent to the Hopf Conjecture for piecewise Euclidean manifolds cellulated by cubes. The goal of this thesis is to study the Charney - Davis Conjecture stated as Conjecture (D) by using sheaves on fans.
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Dotti, Gustavo. "The moduli space of supersymmetric guage theories /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC IP addresses, 1998. http://wwwlib.umi.com/cr/ucsd/fullcit?p9824648.

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Hønsen, Morten Oskar 1973. "A compact moduli space for Cohen-Macaulay curves in projective space." Thesis, Massachusetts Institute of Technology, 2004. http://hdl.handle.net/1721.1/28826.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2004.
Includes bibliographical references (p. 57-59).
We define a moduli functor parametrizing finite maps from a projective (locally) Cohen-Macaulay curve to a fixed projective space. The definition of the functor includes a number of technical conditions, but the most important is that the map is almost everywhere an isomorphism onto its image. The motivation for this definition comes from trying to interpolate between the Hilbert scheme and the Kontsevich mapping space. The main result of this thesis is that our functor is represented by a proper algebraic space. As an application we obtain interesting compactifications of the spaces of smooth curves in projective space. We illustrate this in the case of rational quartics, where the resulting space appears easier than the Hilbert scheme.
by Morten Oskar Hønsen.
Ph.D.
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Mandini, Alessia <1979&gt. "The geometry of the moduli space of polygons in the euclidean space." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2007. http://amsdottorato.unibo.it/424/1/Tesi_A._Mandini.pdf.

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Mandini, Alessia <1979&gt. "The geometry of the moduli space of polygons in the euclidean space." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2007. http://amsdottorato.unibo.it/424/.

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Fortin, Boisvert Mélisande. "Cycles on the moduli space of hyperelliptic curves." Thesis, McGill University, 2003. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=78361.

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Oort gave a complete description of symplectic commutative group schemes killed by p and of rank p2g . Each such group appears as the p-torsion group scheme of some principally polarized abelian variety and this classification can be given in terms of final sequences. In this thesis, we focus on the particular situation where the abelian variety is the Jacobian of a hyperelliptic curve. We concentrate on describing the subspace of the moduli space of hyperelliptic curves, or rather the cycle, corresponding to a given final sequence. Especially, we concentrate on describing the subspace corresponding to the non-ordinary locus, which is a union of final sequences.
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Hausel, Tamás. "Geometry of the moduli space of Higgs bundles." Thesis, University of Cambridge, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.397444.

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Dwivedi, Shashank S. (Shashank Shekhar). "Towards birational aspects of moduli space of curves." Thesis, Massachusetts Institute of Technology, 2010. http://hdl.handle.net/1721.1/62454.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2010.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 43-46).
The moduli space of curves has proven itself a central object in algebraic geometry. The past decade has seen substantial progress in understanding its geometry. This has been spurred by a flurry of ideas from geometry (algebraic, symplectic, and differential), topology, combinatorics, and physics. One way of understanding its birational geometry is by describing its cones of ample and effective divisors and the dual notion of the Mori cone (the closed cone of curves). This thesis aims at giving a brief introduction to the moduli space of n-pointed stable curves of genus ... and some intuition into it and its structure. We do so by surveying what is currently known about the ample and the effective cones of ... , and the problem of determining the closed cone of curves ... The emphasis in this exposition lies on a partial resolution of the Fulton-Faber conjecture (the F-conjecture). Recently, some positive results were announced and the conjecture was shown to be true in a select few cases. Conjecturally, the ample cone has a very simple description as the dual cone spanned by the F-curves. Faber curves (or F-curves) are irreducible components of the locus in ... that parameterize curves with 3g - 4 + n nodes. There are only finitely many classes of F-curves. The conjecture has been verified for the moduli space of curves of small genus. The conjecture predicts that for large g, despite being of general type, ... behaves from the point of view of Mori theory just like a Fano variety. Specifically, this means that the Mori cone of curves is polyhedral, and generated by rational curves. It would be pleasantly surprising if the conjecture holds true for all cases. In the case of the effective cone of divisors the situation is more complicated. F-conjecture. A divisor on ... is ample (nef) if and only if it intersects positively (nonnegatively) all 1-dimensional strata or the F-curves . In other words, every extremal ray of the Mori cone of effective curves NE1(Mg,n) is generated by a one dimensional stratum. The main results presented here are: (i) the Mori cone ... is generated by F-curves when ...
by Shashank S. Dwivedi.
S.M.
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Zaw, Myint. "The moduli space of non-classical directed Klein surfaces." Bonn : [s.n.], 1998. http://catalog.hathitrust.org/api/volumes/oclc/41464662.html.

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Farkas, Gavril Marius. "The birational geometry of the moduli space of curves." [S.l. : Amsterdam : s.n.] ; Universiteit van Amsterdam [Host], 2000. http://dare.uva.nl/document/84192.

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Books on the topic "Moduli space"

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Dijkgraaf, Robbert H., Carel F. Faber, and Gerard B. M. van der Geer, eds. The Moduli Space of Curves. Boston, MA: Birkhäuser Boston, 1995. http://dx.doi.org/10.1007/978-1-4612-4264-2.

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R, Dijkgraaf, Faber C. 1962-, and Geer Gerard van der, eds. The moduli space of curves. Boston: Birkhäuser, 1995.

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Computers, rigidity, and moduli: The large-scale fractal geometry of Riemannian moduli space. Princeton, NJ: Princeton University Press, 2005.

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Mizera, Sebastian. Aspects of Scattering Amplitudes and Moduli Space Localization. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-53010-5.

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Allcock, Daniel. The moduli space of cubic threefolds as a ball quotient. Providence, R.I: American Mathematical Society, 2011.

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1946-, Carlson James A., and Toledo Domingo, eds. The moduli space of cubic threefolds as a ball quotient. Providence, R.I: American Mathematical Society, 2011.

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Morgan, John W. The L²-moduli space and a vanishing theorem for Donaldson polynomial invariants. Cambridge, MA: International Press, 1994.

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Exceptional Weierstrass points and the divisor on moduli space that they define. Providence, R.I., USA: American Mathematical Society, 1985.

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Ying, Daniel. On the moduli space of cyclic trigonal Riemann surfaces of genus 4. Linköping: Matematiska institutionen, Linköpings universitet, 2006.

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Brambila-Paz, Leticia, Peter Newstead, Richard P. W. Thomas, and Oscar Garcia-Prada, eds. Moduli Spaces. Cambridge: Cambridge University Press, 2009. http://dx.doi.org/10.1017/cbo9781107279544.

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Book chapters on the topic "Moduli space"

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Zariski, Oscar. "The moduli space." In The Moduli Problem for Plane Branches, 29–43. Providence, Rhode Island: American Mathematical Society, 2006. http://dx.doi.org/10.1090/ulect/039/04.

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Schwartz, Richard. "Teichmüller space and moduli space." In The Student Mathematical Library, 251–61. Providence, Rhode Island: American Mathematical Society, 2011. http://dx.doi.org/10.1090/stml/060/20.

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Mukhi, Sunil. "MATRIX MODELS OF MODULI SPACE." In NATO Science Series II: Mathematics, Physics and Chemistry, 379–401. Dordrecht: Springer Netherlands, 2006. http://dx.doi.org/10.1007/1-4020-4531-x_10.

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Tuschmann, Wilderich, and David J. Wraith. "The Observer Moduli Space." In Oberwolfach Seminars, 59–69. Basel: Springer Basel, 2015. http://dx.doi.org/10.1007/978-3-0348-0948-1_7.

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Berman, David, Hugo Garcia-Compean, Paulius Miškinis, Miao Li, Daniele Oriti, Steven Duplij, Steven Duplij, et al. "Moduli Space, of SRS." In Concise Encyclopedia of Supersymmetry, 243. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/1-4020-4522-0_322.

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Harer, John L. "The cohomology of the moduli space of curves." In Theory of Moduli, 138–221. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0082808.

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Bogatyrev, Andrei. "Representations for the Moduli Space." In Springer Monographs in Mathematics, 29–52. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25634-9_3.

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Eguchi, Tohru, and Hirosi Ooguri. "Differential Equations in Moduli Space." In Quantum Mechanics of Fundamental Systems 2, 73–77. Boston, MA: Springer US, 1989. http://dx.doi.org/10.1007/978-1-4613-0797-6_7.

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Zamora Saiz, Alfonso, and Ronald A. Zúñiga-Rojas. "Moduli Space of Vector Bundles." In SpringerBriefs in Mathematics, 59–80. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-67829-6_4.

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Caporaso, Lucia. "Distribution of Rational Points and Kodaira Dimension of Fiber Products." In The Moduli Space of Curves, 1–12. Boston, MA: Birkhäuser Boston, 1995. http://dx.doi.org/10.1007/978-1-4612-4264-2_1.

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Conference papers on the topic "Moduli space"

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Evslin, Jarah. "Noncommutativity in compactification moduli space." In STRING THEORY; 10th Tohwa University International Symposium on String Theory. AIP, 2002. http://dx.doi.org/10.1063/1.1454384.

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KADOTA, KENJI, and EWAN D. STEWART. "INFLATION MODEL BUILDING IN MODULI SPACE." In Proceedings of the 10th International Symposium. World Scientific Publishing Company, 2005. http://dx.doi.org/10.1142/9789812701756_0007.

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Penner, R. C. "The Moduli Space of Punctured Surfaces." In Proceedings of the Conference on Mathematical Aspects of String Theory. WORLD SCIENTIFIC, 1987. http://dx.doi.org/10.1142/9789812798411_0015.

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PENNER, R. C. "THE SIMPLICIAL COMPACTIFICATION OF RIEMANN'S MODULI SPACE." In Proceedings of the 37th Taniguchi Symposium. WORLD SCIENTIFIC, 1996. http://dx.doi.org/10.1142/9789814503921_0013.

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KIM, B., and R. PANDHARIPANDE. "THE CONNECTEDNESS OF THE MODULI SPACE OF MAPS TO HOMOGENEOUS SPACES." In Proceedings of the 4th KIAS Annual International Conference. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812799821_0006.

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Mandini, Alessia, Rui Loja Fernandes, and Roger Picken. "A Note on the Moduli Space of Polygons." In GEOMETRY AND PHYSICS: XVI International Fall Workshop. AIP, 2008. http://dx.doi.org/10.1063/1.2958168.

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Harris, Joe. "An Introduction to the Moduli Space of Curves." In Proceedings of the Conference on Mathematical Aspects of String Theory. WORLD SCIENTIFIC, 1987. http://dx.doi.org/10.1142/9789812798411_0014.

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ADACHI, T. "MODULI SPACE OF KILLING HELICES OF LOW ORDERS ON A COMPLEX SPACE FORM." In Proceedings of the 8th International Workshop on Complex Structures and Vector Fields. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812709806_0001.

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Giddings, Steven B. "STRING FIELD THEORY AND THE GEOMETRY OF MODULI SPACE." In Proceedings of the Conference on Mathematical Aspects of String Theory. WORLD SCIENTIFIC, 1987. http://dx.doi.org/10.1142/9789812798411_0007.

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FÖRSTE, STEFAN. "ON THE MODULI SPACE FOR STRINGS ON GROUP MANIFOLDS." In Proceedings of the 2nd International Conference. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702463_0020.

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Reports on the topic "Moduli space"

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Moriya, Katsuhiro. A Moduli Space of Minimal Annuli. GIQ, 2012. http://dx.doi.org/10.7546/giq-3-2002-360-368.

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Radnell, David. A Complex Structure on the Moduli Space of Rigged Riemann Surfaces. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-5-2006-82-94.

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Schlichenmaier, Martin. Berezin-Toeplitz Quantization of the Moduli Space of Flat SU(N) Connections. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-9-2007-33-44.

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Aharony, Ofer, Zohar Komargodski, and Assaf Patir. The Moduli Space and M(Atrix) Theory of 9d N=1 Backgrounds of M/String Theory. Office of Scientific and Technical Information (OSTI), March 2007. http://dx.doi.org/10.2172/901260.

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Pisani, William, Dane Wedgeworth, Michael Roth, John Newman, and Manoj Shukla. Exploration of two polymer nanocomposite structure-property relationships facilitated by molecular dynamics simulation and multiscale modeling. Engineer Research and Development Center (U.S.), March 2023. http://dx.doi.org/10.21079/11681/46713.

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Polyamide 6 (PA6) is a semi-crystalline thermoplastic used in many engineering applications due to good strength, stiffness, mechanical damping, wear/abrasion resistance, and excellent performance-to-cost ratio. In this report, two structure-property relationships were explored. First, carbon nanotubes (CNT) and graphene (G) were used as reinforcement molecules in simulated and experimentally prepared PA6 matrices to improve the overall mechanical properties. Molecular dynamics (MD) simulations with INTERFACE and reactive INTERFACE force fields (IFF and IFF-R) were used to predict bulk and Young's moduli of amorphous PA6-CNT/G nanocomposites as a function of CNT/G loading. The predicted values of Young's modulus agree moderately well with the experimental values. Second, the effect of crystallinity and crystal form (α/γ) on mechanical properties of semi-crystalline PA6 was investigated via a multiscale simulation approach. The National Aeronautics and Space Administration, Glenn Research Center's micromechanics software was used to facilitate the multiscale modeling. The inputs to the multiscale model were the elastic moduli of amorphous PA6 as predicted via MD and calculated stiffness matrices from the literature of the PA6 α and γ crystal forms. The predicted Young's and shear moduli compared well with experiment.
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Aguiar Borges, Luciane, Lisa Rohrer, and Kjell Nilsson. Green and healthy Nordic cities: How to plan, design, and manage health-promoting urban green space. Nordregio, January 2024. http://dx.doi.org/10.6027/r2024:11403-2503.

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This handbook is the culmination of the NORDGREEN project, which develops and implements smart planning and management solutions for well-designed, high-quality green spaces that promote health and well-being. Researchers and practitioners worked alongside one another in six Nordic cities: Aarhus (Denmark), Espoo and Ii (Finland), Stavanger (Norway), and Täby and Vilhelmina (Sweden). Together, the researchers and practitioners applied methods including GIS data analysis, statistical analysis, PPGIS surveys and analysis, policy document analysis, interviews, and evidence-based design models. The handbook uses an innovative framework based on the multi-disciplinary approach of the project, using epidemiological studies, environmental psychology, policy and management, and citizen participation. These fields of study and their respective methodologies are divided into the four so-called NORD components—NUMBERING, OBSERVING, REGULATING, and DESIGNING—which, accompanied by a BACKGROUND section reviewing the evidence linking green space and human health, form the bulk of the handbook. Some key take-away messages from these chapters include: There is a fairly broad consensus that access to, and use of, natural and green areas have a positive influence on people’s health and well-being. Both perceived and objective indicators for access to green space and for health are needed for making a more comprehensive evaluation for how people’s health is influenced by green space. Citizens’ experiential, local knowledge is a vital component of urban planning, and PPGIS can offer practitioners the opportunity to gather map-based experiential knowledge to provide insights for planning, designing, and managing green spaces. Alignment, both vertically across the political, tactical, and operational levels, as well as horizontally across departments, is critical for municipal organisations to foster health-promoting green spaces. Evidence-based design models can provide important categories and qualities for diagnosing the gaps in existing green spaces and designing green spaces with different scales and scopes that respond to the various health and well-being needs of different people. Based on the research and lessons learned from the six case study cities, the handbook provides practitioners with a TOOLBOX of adaptable methods, models, and guidelines for delivering health-promoting green spaces to consider in their own contexts. By reading this handbook, planners and policymakers can expect to gain (1) a background on the evidence linking green spaces and health, practical tools for planning, designing, and managing green spaces, (2) tips from researchers regarding the challenges of using various methods, models, and guidelines for delivering health-promoting green space, and (3) inspiration on some success stories emerging from the Nordic Region in this area of study. The handbook covers a wide range of health and urban green space topics. Landscape architects will find evidence-based design models for enhancing existing green space design processes. Planners will find methods and guidelines for identifying, collecting, and analysing both qualitative and quantitative green space and health data from statistical databases, national citizen surveys, and map-based participatory surveys. And all practitioners will find guidelines for achieving programmatic alignment in their work for delivering health-promoting green space.
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Jacobs, David W. Space Efficient 3D Model Indexing. Fort Belvoir, VA: Defense Technical Information Center, February 1992. http://dx.doi.org/10.21236/ada259571.

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Edenburn, M. W. Models for multimegawatt space power systems. Office of Scientific and Technical Information (OSTI), June 1990. http://dx.doi.org/10.2172/6252925.

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Doherty, Patricia H., David Webb, Stuart Huston, Thomas Kuchar, Donald Mizuno, William Burke, Kara Perry, and James Sullivan. Space Weather: Measurements, Models and Predictions. Fort Belvoir, VA: Defense Technical Information Center, March 2014. http://dx.doi.org/10.21236/ada603150.

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Krugman, Paul. Cities in Space: Three Simple Models. Cambridge, MA: National Bureau of Economic Research, January 1991. http://dx.doi.org/10.3386/w3607.

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