Literatura académica sobre el tema "Hyper-Kähler manifolds"
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Artículos de revistas sobre el tema "Hyper-Kähler manifolds"
Dancer, A. "Hyper-Kähler manifolds". Surveys in Differential Geometry 6, n.º 1 (2001): 15–38. http://dx.doi.org/10.4310/sdg.2001.v6.n1.a2.
Texto completoBeckmann, Thorsten. "Derived categories of hyper-Kähler manifolds: extended Mukai vector and integral structure". Compositio Mathematica 159, n.º 1 (enero de 2023): 109–52. http://dx.doi.org/10.1112/s0010437x22007849.
Texto completoMerker, Jochen. "On Almost Hyper-Para-Kähler Manifolds". ISRN Geometry 2012 (8 de marzo de 2012): 1–13. http://dx.doi.org/10.5402/2012/535101.
Texto completoEntov, Michael y Misha Verbitsky. "Unobstructed symplectic packing for tori and hyper-Kähler manifolds". Journal of Topology and Analysis 08, n.º 04 (8 de septiembre de 2016): 589–626. http://dx.doi.org/10.1142/s1793525316500229.
Texto completoAlekseevsky, D. V., V. Cortés y T. Mohaupt. "Conification of Kähler and Hyper-Kähler Manifolds". Communications in Mathematical Physics 324, n.º 2 (6 de octubre de 2013): 637–55. http://dx.doi.org/10.1007/s00220-013-1812-0.
Texto completoGOTO, RYUSHI. "On toric hyper-Kähler manifolds given by the hyper-Kähler quotient method". International Journal of Modern Physics A 07, supp01a (abril de 1992): 317–38. http://dx.doi.org/10.1142/s0217751x92003835.
Texto completoKrivonos, S. O. y A. V. Shcherbakov. "Hyper-Kähler manifolds and nonlinear supermultiplets". Physics of Particles and Nuclei Letters 4, n.º 1 (febrero de 2007): 55–59. http://dx.doi.org/10.1134/s1547477107010104.
Texto completoGoto, R. "On hyper-Kähler manifolds of typeA ∞". Geometric and Functional Analysis 4, n.º 4 (julio de 1994): 424–54. http://dx.doi.org/10.1007/bf01896403.
Texto completoCAPPELLETTI MONTANO, BENIAMINO, ANTONIO DE NICOLA y GIULIA DILEO. "THE GEOMETRY OF 3-QUASI-SASAKIAN MANIFOLDS". International Journal of Mathematics 20, n.º 09 (septiembre de 2009): 1081–105. http://dx.doi.org/10.1142/s0129167x09005662.
Texto completoBERGSHOEFF, ERIC, STEFAN VANDOREN y ANTOINE VAN PROEYEN. "THE IDENTIFICATION OF CONFORMAL HYPERCOMPLEX AND QUATERNIONIC MANIFOLDS". International Journal of Geometric Methods in Modern Physics 03, n.º 05n06 (septiembre de 2006): 913–32. http://dx.doi.org/10.1142/s0219887806001521.
Texto completoTesis sobre el tema "Hyper-Kähler manifolds"
Bai, Chenyu. "Hodge Theory, Algebraic Cycles of Hyper-Kähler Manifolds". Electronic Thesis or Diss., Sorbonne université, 2024. http://www.theses.fr/2024SORUS081.
Texto completoThis thesis is devoted to the study of algebraic cycles in projective hyper-Kähler manifolds and strict Calabi-Yau manifolds. It contributes to the understanding of Beauville's and Voisin's conjectures on the Chow rings of projective hyper-Kähler manifolds and strict Calabi-Yau manifolds. It also studies some birational invariants of projective hyper-Kähler manifolds.The first part of the thesis, appeared in Mathematische Zeitschrift [C. Bai, On Abel-Jacobi maps of Lagrangian families, Math. Z. 304, 34 (2023)] and presented in Chapter 2, studies whether the Lagrangian subvarieties in a hyper-Kähler manifold sharing the same cohomological class have the same Chow class as well. We study the notion of Lagrangian families and its associated Abel-Jacobi maps. We take an infinitesimal approach to give a criterion for the triviality of the Abel-Jacobi map of a Lagrangian family, and use this criterion to give a negative answer to the above question, adding to the subtleties of a conjecture of Voisin. We also explore how the maximality of the variation of the Hodge structures on the degree 1 cohomology the Lagrangian family implies the triviality of the Abel-Jacobi map. The second part of the thesis, to appear in International Mathematics Research Notices [C. Bai, On some birational invariants of hyper-Kähler manifolds, ArXiv: 2210.12455, to appear in International Mathematics Research Notices, 2024] and presented in Chapter 3, studies the degree of irrationality, the fibering gonality and the fibering genus of projective hyper-Kähler manifolds, with emphasis on the K3 surfaces case, en mettant l'accent sur le cas des surfaces K3. We first give a slight improvement of a result of Voisin on the lower bound of the degree of irrationality of Mumford-Tate general hyper-Kähler manifolds. We then study the relation of the above three birational invariants for projective K3 surfaces of Picard number 1, adding the understandinf of a conjecture of Bastianelli, De Poi, Ein, Lazarsfeld, Ullery on the asymptotic behavior of the degree of irrationality of very general projective K3 surfaces. The third part of the thesis, presented in Chapter 4, studies the higher dimensional Voisin maps on strict Calabi-Yau manifolds. Voisin constructed self-rational maps of Calabi-Yau manifolds obtained as varieties of r-planes in cubic hypersurfaces of adequate dimension. This map has been thoroughly studied in the case r=1, which is the Beauville-Donagi case. For higher dimensional cases, we first study the action of the Voisin map on the holomorphic forms. We then prove the generalized Bloch conjecture for the action of the Voisin maps on Chow groups for the case of r=2. Finally, via the study of the Voisin map, we provide evidence for a conjecture of Voisin on the existence of a special 0-cycle on strict Calabi-Yau manifolds
Haydys, Andriy. "Generalized Seiberg-Witten equations and hyperKähler geometry". Doctoral thesis, 2006. http://hdl.handle.net/11858/00-1735-0000-0006-B381-C.
Texto completoLibros sobre el tema "Hyper-Kähler manifolds"
Shen, Mingmin. The Fourier transform for certain hyper Kähler fourfolds. Providence, Rhode Island: American Mathematical Society, 2016.
Buscar texto completoNieper-Wigbkirchen, Marc. Chern numbers and Rozansky-Witten invariants of compact hyper-Kähler manifolds. Singapore: World Scientific, 2005.
Buscar texto completo(Editor), Geir Ellingsrud, Loren Olson (Editor), Kristian Ranestad (Editor) y Stein A. Stromme (Editor), eds. Calabi-Yau Manifolds and Related Geometries. Springer, 2003.
Buscar texto completoOlson, Loren, Mark Gross, Dominic Joyce, Geir Ellingsrud y Daniel Huybrechts. Calabi-Yau Manifolds and Related Geometries: Lectures at a Summer School in Nordfjordeid, Norway, June 2001. Springer London, Limited, 2012.
Buscar texto completoVoisin, Claire. Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187). Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691160504.001.0001.
Texto completoCapítulos de libros sobre el tema "Hyper-Kähler manifolds"
LeBrun, Claude. "Twistors, Hyper-Kähler Manifolds, and Complex Moduli". En Springer INdAM Series, 207–14. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-67519-0_8.
Texto completoHattori, Kota. "The Geometry on Hyper-Kähler Manifolds of Type A ∞". En Springer Proceedings in Mathematics & Statistics, 309–17. Tokyo: Springer Japan, 2014. http://dx.doi.org/10.1007/978-4-431-55215-4_27.
Texto completoFré, Pietro Giuseppe. "(Hyper)Kähler Quotients, ALE-Manifolds and $$\mathbb {C}^n/\varGamma $$ Singularities". En Advances in Geometry and Lie Algebras from Supergravity, 447–551. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74491-9_8.
Texto completoVoisin, Claire. "Torsion Points of Sections of Lagrangian Torus Fibrations and the Chow Ring of Hyper-Kähler Manifolds". En Geometry of Moduli, 295–326. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94881-2_10.
Texto completo"Hyper-Kähler and HKT Manifolds". En Differential Geometry through Supersymmetric Glasses, 51–76. WORLD SCIENTIFIC, 2020. http://dx.doi.org/10.1142/9789811206788_0004.
Texto completo"Mirror symmetry for hyper-Kähler manifolds". En Mirror Symmetry III, 115–56. Providence, Rhode Island: American Mathematical Society, 1998. http://dx.doi.org/10.1090/amsip/010/04.
Texto completo"Compact hyper-Kähler manifolds and holomorphic symplectic manifolds". En Chern Numbers and Rozansky–Witten Invariants of Compact Hyper-Kähler Manifolds, 1–38. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812562357_0001.
Texto completo"Graph homology". En Chern Numbers and Rozansky–Witten Invariants of Compact Hyper-Kähler Manifolds, 39–82. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812562357_0002.
Texto completo"Rozansky–Witten theory". En Chern Numbers and Rozansky–Witten Invariants of Compact Hyper-Kähler Manifolds, 83–107. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812562357_0003.
Texto completo"Calculations for the example series". En Chern Numbers and Rozansky–Witten Invariants of Compact Hyper-Kähler Manifolds, 109–39. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812562357_0004.
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