Relevant bibliographies by topics / Seifert manifold

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

Academic literature on the topic 'Seifert manifold'

Author: Grafiati
Published: 4 June 2021
Last updated: 20 February 2023

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Journal articles on the topic "Seifert manifold"

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Ikeda, Toru. "Essential Surfaces in Graph Link Exteriors." Canadian Mathematical Bulletin 52, no. 2 (June 1, 2009): 257–66. http://dx.doi.org/10.4153/cmb-2009-028-9.

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AbstractAn irreducible graph manifold M contains an essential torus if it is not a special Seifert manifold. WhetherM contains a closed essential surface of negative Euler characteristic or not depends on the difference of Seifert fibrations from the two sides of a torus system which splits M into Seifert manifolds. However, it is not easy to characterize geometrically the class of irreducible graph manifolds which contain such surfaces. This article studies this problem in the case of graph link exteriors.
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Silver, Daniel S. "Examples of 3-knots with no minimal Seifert manifolds." Mathematical Proceedings of the Cambridge Philosophical Society 110, no. 3 (November 1991): 417–20. http://dx.doi.org/10.1017/s0305004100070481.

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We work throughout in the smooth category. Homomorphisms of fundamental and homology groups are induced by inclusion. Ann-knot, formn≥ 1, is an embeddedn-sphereK⊂Sn+2. ASeifert manifoldforKis a compact, connected, orientable (n+ 1)-manifoldV⊂Sn+2with boundary ∂V=K. By [9] Seifert manifolds always exist. As in [9] letYdenoteSn+2split alongV; Yis a compact manifold with ∂Y=V0∪V1, whereVt≈V. We say thatVis aminimal Seifert manifoldforKif π1Vt→ π1Yis a monomorphism fort= 0, 1. (Here and throughout basepoint considerations are suppressed.)
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COFFEY, JAMES. "THE UNIVERSAL COVER OF 3-MANIFOLDS BUILT FROM INJECTIVE HANDLEBODIES IS ℝ3." Journal of Knot Theory and Its Ramifications 17, no. 10 (October 2008): 1257–80. http://dx.doi.org/10.1142/s0218216508006579.

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This paper gives a proof that the universal cover of a closed 3-manifold built from three π1-injective handlebodies is homeomorphic to ℝ3. This construction is an extension to handlebodies of the conditions for gluing of three solid tori to produce non-Haken Seifert fibered manifolds with infinite fundamental group. This class of manifolds has been shown to contain non-Haken non-Seifert fibered manifolds.
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NISHI, HARUKO. "SU(n)-CHERN–SIMONS INVARIANTS OF SEIFERT FIBERED 3-MANIFOLDS." International Journal of Mathematics 09, no. 03 (May 1998): 295–330. http://dx.doi.org/10.1142/s0129167x98000130.

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We derive the formula for the Chern–Simons invariants of irrreducible SU(n)-flat connections on the Seifert fibered 3-manifolds. As an example, we calculate the values explicitly for the Seifert fibered 3-manifold S3/Γ, where Γ is a finite subgroup of SU(2).
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Silver, Daniel S. "On the existence of minimal Seifert manifolds." Mathematical Proceedings of the Cambridge Philosophical Society 114, no. 1 (July 1993): 103–9. http://dx.doi.org/10.1017/s0305004100071449.

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AbstractFor n ≥ 3, an n-knot K has a minimal Seifert manifold if and only if its group is isomorphic to an HNN-extension with finitely presented base. In this case, any Seifert manifold for K can be converted to a minimal Seifert manifold for K by some finite sequence of ambient 0- and 1-surgeries.
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BRITTENHAM, MARK. "ESSENTIAL LAMINATIONS, EXCEPTIONAL SEIFERT-FIBERED SPACES, AND DEHN FILLING." Journal of Knot Theory and Its Ramifications 07, no. 04 (June 1998): 425–32. http://dx.doi.org/10.1142/s021821659800022x.

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We show how essential laminations can be used to provide an improvement on (some of) the results of the 2π-Theorem; at most 20 Dehn fillings on a hyperbolic 3-manifold with boundary a torus T can yield a reducible manifold, finite π1 manifold, or exceptional Seifert-fibered space. Recent work of Wu allows us to add toroidal manifolds to this list, as well.
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Heil, Wolfgang, and Wilbur Whitten. "The Seifert Fiber Space Conjecture and Torus Theorem for Nonorientable 3-Manifolds." Canadian Mathematical Bulletin 37, no. 4 (December 1, 1994): 482–89. http://dx.doi.org/10.4153/cmb-1994-070-7.

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AbstractThe Seifert-fiber-space conjecture for nonorientable 3-manifolds states that if M denotes a compact, irreducible, nonorientable 3-manifold that is not a fake P2 x S1, if π1M is infinite and does not contain Z2 * Z2 as a subgroup, and if π1M does however contain a nontrivial, cyclic, normal subgroup, then M is a Seifert bundle. In this paper, we construct all compact, irreducible, nonorientable 3-manifolds (that do not contain a fake P2 × I) each of whose fundamental group contains Z2 * Z2 and an infinité cyclic, normal subgroup; none of these manifolds admits a Seifert fibration, but they satisfy Thurston's Geometrization Conjecture. We then reformulate the statement of the (nonorientable) SFS-conjecture and obtain a torus theorem for nonorientable manifolds.
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Millett, Kenneth, and Dale Rolfsen. "A theorem of Borsuk—Ulam type for Seifert-fibred 3-manifolds." Mathematical Proceedings of the Cambridge Philosophical Society 100, no. 3 (November 1986): 523–32. http://dx.doi.org/10.1017/s0305004100066251.

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Let M denote a compact topological 3-manifold, without boundary, foliated by topological circles in the sense of Seifert's gefaserter Räume[8]. This will be called a Seifert structure, or Seifert fibration on M; the leaves of the foliation are called (regular or exceptional) fibres. Our main result is the following theorem, reminiscent of the theorem of Borsuk—Ulam [1] stating that every continuous function from S3 to S2 takes at least one pair of antipodal points to the same value.
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Peet, Benjamin. "Finite, Fiber- and Orientation-Preserving Group Actions on Totally Orientable Seifert Manifolds." Annales Mathematicae Silesianae 33, no. 1 (September 1, 2019): 235–65. http://dx.doi.org/10.2478/amsil-2019-0007.

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AbstractIn this paper we consider the finite groups that act fiber- and orientation-preservingly on closed, compact, and orientable Seifert manifolds that fiber over an orientable base space. We establish a method of constructing such group actions and then show that if an action satisfies a condition on the obstruction class of the Seifert manifold, it can be derived from the given construction. The obstruction condition is refined and the general structure of the finite groups that act via the construction is provided.
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Kropholler, P. H. "A note on centrality in 3-manifold groups." Mathematical Proceedings of the Cambridge Philosophical Society 107, no. 2 (March 1990): 261–66. http://dx.doi.org/10.1017/s0305004100068523.

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Centralizers in fundamental groups of 3-manifolds are well understood because of their relationship with Seifert fibre spaces. Jaco and Shalen's book [4] provides detailed information about Seifert fibre spaces in 3-manifolds, and consequently about centralizers in their fundamental groups. It is the purpose of this note to record two group-theoretic properties, both easily deduced from results of Jaco and Shalen. Doubtless many other authors could have established the same results had they needed them. Our motivation for writing this paper is that these properties can be used as a basis for group-theoretic proofs of certain fundamental results in 3-manifold theory: Proposition 1 below can be used as a basis for a proof of the Torus Theorem (cf. [8]) and Proposition 2 for the Torus Decomposition Theorem (cf. [9]).
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Dissertations / Theses on the topic "Seifert manifold"

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Kemp, M. C. "Geometric Seifert 4-manifolds with aspherical bases." Thesis, The University of Sydney, 2005. http://hdl.handle.net/2123/702.

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Seifert fibred 3-manifolds were originally defined and classified by Seifert. Scott gives a survey of results connected with these classical Seifert spaces, in particular he shows they correspond to 3-manifolds having one of six of the eight 3-dimensional geometries (in the sense of Thurston). Essentially, a classical Seifert manifold is a S1-bundle over a 2-orbifold. More generally, a Seifert manifold is the total space of a bundle over a 2-orbifold with flat fibres. It is natural to ask if these generalised Seifert manifolds describe geometries of higher dimension. Ue has considered the geometries of orientable Seifert 4-manifolds (which have general fibre a torus). He proves that (with a finite number of exceptions orientable manifolds of eight of the 4-dimensional geometries are Seifert fibred. However, Seifert manifolds with a hyperbolic base are not necessarily geometric. In this paper, we seek to extend Ue's work to the non-orientable case. Firstly, we will show that Seifert spaces over an aspherical base are determined (up to fibre preserving homeomorphism) by their fundamental group sequence. Furthermore when the base is hyperbolic, a Seifert space is determined (up to fibre preserving homeomorphism) by its fundamental group. This generalises the work of Zieschang, who assumed the base has no reflector curves, the fibre was a torus and that a monodromy of a loop surrounding a cone point is trivial. Then we restrict to the 4 dimensional case and find necessary and sufficient conditions for Seifert 4 manifolds over hyperbolic or Euclidean orbifolds to be geometric in the sense of Thurston. Ue proved that orientable Seifert 4-manifolds with hyperbolic base are geometric if and only if the monodromies are periodic, and we will prove that we can drop the orientable condition. Ue also proved that orientable Seifert 4-manifolds with a Euclidean base are always geometric, and we will again show the orientable assumption is unnecessary.
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Kemp, M. C. "Geometric Seifert 4-manifolds with aspherical bases." University of Sydney. Mathematics, 2005. http://hdl.handle.net/2123/702.

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Seifert fibred 3-manifolds were originally defined and classified by Seifert. Scott gives a survey of results connected with these classical Seifert spaces, in particular he shows they correspond to 3-manifolds having one of six of the eight 3-dimensional geometries (in the sense of Thurston). Essentially, a classical Seifert manifold is a S1-bundle over a 2-orbifold. More generally, a Seifert manifold is the total space of a bundle over a 2-orbifold with flat fibres. It is natural to ask if these generalised Seifert manifolds describe geometries of higher dimension. Ue has considered the geometries of orientable Seifert 4-manifolds (which have general fibre a torus). He proves that (with a finite number of exceptions orientable manifolds of eight of the 4-dimensional geometries are Seifert fibred. However, Seifert manifolds with a hyperbolic base are not necessarily geometric. In this paper, we seek to extend Ue's work to the non-orientable case. Firstly, we will show that Seifert spaces over an aspherical base are determined (up to fibre preserving homeomorphism) by their fundamental group sequence. Furthermore when the base is hyperbolic, a Seifert space is determined (up to fibre preserving homeomorphism) by its fundamental group. This generalises the work of Zieschang, who assumed the base has no reflector curves, the fibre was a torus and that a monodromy of a loop surrounding a cone point is trivial. Then we restrict to the 4 dimensional case and find necessary and sufficient conditions for Seifert 4 manifolds over hyperbolic or Euclidean orbifolds to be geometric in the sense of Thurston. Ue proved that orientable Seifert 4-manifolds with hyperbolic base are geometric if and only if the monodromies are periodic, and we will prove that we can drop the orientable condition. Ue also proved that orientable Seifert 4-manifolds with a Euclidean base are always geometric, and we will again show the orientable assumption is unnecessary.
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Maillot, Sylvain. "Quasi-isométries, groupes de surfaces et orbifolds fibrés de Seifert." Phd thesis, Université Paul Sabatier - Toulouse III, 2000. http://tel.archives-ouvertes.fr/tel-00001342.

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Le résultat principal est une caractérisation homotopique des orbifolds de dimension 3 qui sont fibrés de Seifert : si O est un orbifold de dimension 3 fermé, orientable et petit dont le groupe fondamental admet un sous-groupe infini cyclique normal, alors O est de Seifert. Ce théorème généralise un résultat de Scott, Mess, Tukia, Gabai et Casson-Jungreis pour les variétés. Il repose sur une caractérisation des groupes de surfaces virtuels comme groupes quasi-isométriques à un plan riemannien complet. D'autres résultats sur les quasi-isométries entre groupes et surfaces sont obtenus.
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Falcioni, Valentina. "Complexity of Seifert manifolds." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/17054/.

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In this thesis, we give an overview over the theory of Seifert fibre spaces and the complexity theory. We start by giving some preliminary notions about 2-dimensional orbifolds, fibre bundles and circle bundles, in order to be able to understand the following part of the thesis, regarding the theory of Seifert fibre spaces. We first see the definition and properties of Seifert fibre spaces and, after giving a combinatorial description, we classify them up to fibre-preserving homeomorphism and up to homeomorphism. Afterwards, we introduce the complexity theory, at first in a general way concerning all compact 3-manifolds and then focusing ourselves on the estimation for the complexity of Seifert fibre spaces. We also give some examples of spine constructions for manifolds with boundary having complexity zero.
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Nasatyr, Emile Ben. "Seifert manifolds and gauge theory." Thesis, University of Oxford, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.303603.

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Gartland, Christopher John. "Cycle-Free Twisted Face-Pairing 3-Manifolds." Thesis, Virginia Tech, 2014. http://hdl.handle.net/10919/48188.

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In 2-dimensional topology, quotients of polygons by edge-pairings provide a rich source of examples of closed, connected, orientable surfaces. In fact, they provide all such examples. The 3-dimensional analogue of an edge-pairing of a polygon is a face-pairing of a faceted 3-ball. Unfortunately, quotients of faceted 3-balls by face-pairings rarely provide us with examples of 3-manifolds due to singularities that arise at the vertices. However, any face-pairing of a faceted 3-ball may be slighted modified so that its quotient is a genuine manifold, i.e. free of singularities. The modified face-pairing is called a twisted face-pairing. It is natural to ask which closed, connected, orientable 3-manifolds may be obtained as quotients of twisted face-pairings. In this paper, we focus on a special class of face-pairings called cycle-free twisted face-pairings and give description of their quotient spaces in terms of integer weighted graphs. We use this description to prove that most spherical 3-manifolds can be obtained as quotients of cycle-free twisted face-pairings, but the Poincaré homology 3-sphere cannot.
Master of Science
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Medetogullari, Elif. "On The Tight Contact Structures On Seifert Fibred 3." Phd thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612605/index.pdf.

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In this thesis, we study the classification problem of Stein fillable tight contact structures on any Seifert fibered 3&minus
manifold M over S 2 with 4 singular fibers. In the case e0(M) ·
&minus
4 we have a complete classification. In the case e0(M) ¸
0 we have obtained upper and lower bounds for the number of Stein fillable contact structures on M.
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Caillat-Gibert, Shanti. "Problème d'existence de feuilletage tendu dans les 3- variétés." Thesis, Aix-Marseille 1, 2011. http://www.theses.fr/2011AIX10083/document.

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Dans cette thèse, on étudie les C2-feuilletages de codimension 1, dans les 3-variétés compactes connexes et orientables. Il est bien connu que l’on peut construire explicitement sur de telles variétés un feuilletage qui possède des composantes de Reeb. Vient alors le problème crucial d’existence des feuilletages tendus (toujours ouvert).Rappelons qu’un feuilletage tendu n’admet pas de composante de Reeb, mais que la réciproque est fausse.La première partie de ce travail, consiste à comprendre la différence entre un feuilletage non-tendu sans composante de Reeb et un feuilletage tendu. On verra que l’orientation transverse des feuilles toriques joue un rôle crucial, en donnant une condition nécessaire et suffisante sur cette orientation transverse pour qu’un feuilletage soit tendu. Pour cela on étudiera de près les procédés géométriques de tourbillonement et de spiralement, et on montrera qu’ils apparaissent toujours au voisinage d’une feuille torique.La seconde partie de ce travail se concentre sur le problème d’existence de feuilletages tendu. Rappelons que depuis les travaux de D. Gabai [1983], on sait que si une 3-variété admet une homologie non-triviale, alors elle admet un feuilletage tendu. Mais le problème d’existence est toujours ouvert parmi les sphères d’homologies, et on s’intéresse ici à celles qui sont fibrées de Seifert. On montre que toutes les sphères d’homologie entière fibrées de Seifert sauf S3 et la sphère d’homologie de Poincaré admettent un feuilletage tendu. Par contre, parmi les sphères d’homologie rationnelle non-entière, fibrées de Seifert, il existe une infinité de telles variétés qui admettent un feuilletage tendu, et une infinité qui n’en admettent pas
In this thesis, we study codimension 1, C2-foliations, in compact, connected and orientable 3-manifolds. It is well known that we can explicitly construct on such manifolds a foliation admitting Reeb components. Then comes the crucial problem of existence of taut foliation (still opened).Recall that a taut foliation does not admit a Reeb component, but the converse is false. The first step of this work focuses on the difference between a non-taut and Reebless foliation, and a taut foliation. We will understand that the transverse orientation of the torus leaves plays a key-role, by giving a necessary and sufficient condition on the transverse orientation, for a foliation to be taut. For this, we will study the geometric processes of turbulization and spiraling with generalizations, and we see that they always appear in a neighborhood of a torus leaf.The second step of this work is concentrated on the problem of existence of taut foliations. Recall that since the work of D. Gabai [1983], we know that if a 3-manifold has non-trivial homology, then it admits a taut foliation. This problem is still opened among homology spheres and we focus here on Seifert fibered ones. We show that all Seifert fibered integral homology spheres (but S3 and Poincar ́e homology sphere) admit a taut foliation. Nevertheless, among Seifert fibered rational (and non-integral) homology spheres, there exist infinitely many which admit a taut foliation and infinitely many which do not admit one
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Gutierrez, Quispe Robert Gerson. "Aspectos de la teoría de nudos." Bachelor's thesis, 2019. http://hdl.handle.net/11086/14649.

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Tesis (Lic. en Matemática)--Universidad Nacional de Córdoba, Facultad de Matemática, Astronomía, Física y Computación, 2019.
Los nudos, tal cual aparecen en nuestra vida cotidiana, son un objeto de estudio en la Matemática. La Teoría de Nudos es la rama de la Matemática que se encarga de su estudio. Un problema central es el de poder decir si dos nudos dados son equivalentes o no. Los matemáticos, en la búsqueda de responder esta pregunta, entre otras, han desarrollado diversas técnicas y herramientas en esta área de estudio. En este trabajo se hace un recorrido en el estudio de la Teoría de Nudos, comenzando con las definiciones más elementales, hasta llegar a estudiar herramientas sofisticadas como el polinomio de Alexander, el grupo de un nudo y las matrices de Seifert, entre otros. En los dos últimos capítulos se investigan los dos temas siguientes: nudos virtuales y presentaciones de Wirtinger. En este último se hace un aporte, dando una nueva familia infinita de presentaciones de Wirtinger no geométricas.
The knots we usually see in our lifes are studied in mathematics in the branch called Knot Theory. A main problem is to decide whether two knots are equivalent or not. Many tools and techniques have been developed by mathematicians in order to answer this and other related questions. In this work, we study Knot Theory from the beginning, with definitions and elementary notions, until some sophisticated concepts and tools like the Alexander polynomial, the knot group and Seifert matrices, among others. In the last two chapters, we work on the following two particular subjects: virtual knots and Wirtinger presentations. In this last one, we made a small contribution by presenting a new infinite family of Wirtinger presentations which are not geometric.
Fil: Gutierrez Quispe. Robert Gerson. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina.
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Pei, Du. "3d-3d Correspondence for Seifert Manifolds." Thesis, 2016. https://thesis.library.caltech.edu/9813/15/Pei_Du_2016.pdf.

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In this dissertation, we investigate the 3d-3d correspondence for Seifert manifolds. This correspondence, originating from string theory and M-theory, relates the dynamics of three-dimensional quantum field theories with the geometry of three-manifolds.

We first start in Chapter II with the simplest cases and demonstrate the extremely rich interplay between geometry and physics even when the manifold is just a direct product. In this particular case, by examining the problem from various vantage points, we generalize the celebrated relations between 1) the Verlinde algebra, 2) quantum cohomology of the Grassmannian, 3) quantization of Chern-Simons theory and 4) the index theory of the moduli space of flat connections to a completely new set of relations between 1) the "equivariant Verlinde algebra" for a complex group, 2) the equivariant quantum K-theory of the vortex moduli space, 3) quantization of complex Chern-Simons theory and 4) the equivariant index theory of the moduli space of Higgs bundles.

In Chapter III we move one step up in complexity by looking at the next simplest three-manifolds---lens spaces. We test the 3d-3d correspondence for theories that are labeled by lens spaces, reaching a full agreement between the index of the 3d N=2 "lens space theory" and the partition function of complex Chern-Simons theory on the lens space.

The two different types of manifolds studied in the previous two chapters also have interesting interactions. We show in Chapter IV the equivalence between two seemingly distinct 2d TQFTs: one comes from the "Coulomb branch index" of the class S theory on a lens space, the other is the "equivariant Verlinde formula". We check this relation explicitly for SU(2) and demonstrate that the SU(N) equivariant Verlinde algebra can be derived using field theory via (generalized) Argyres-Seiberg dualities.

In the last chapter, we directly jump to the most general situation, giving a proposal for the 3d-3d correspondence for an arbitrary Seifert manifold. We remark on the huge class of novel dualities relating different descriptions of the "Seifert theory" associated with the same Seifert manifold and suggest ways that our proposal could be tested.

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Books on the topic "Seifert manifold"

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1932-, Raymond Frank, ed. Seifert fiberings. Providence, R.I: American Mathematical Society, 2010.

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1959-, Miyazaki Katura, and Motegi Kimihiko 1963-, eds. Networking Seifert surgeries on knots. Providence, R.I: American Mathematical Society, 2011.

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Cassels, J. W. S., and Neumann. Seifert Manifolds. University of Cambridge ESOL Examinations, 2001.

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Orlik, Peter. Seifert Manifolds. Springer London, Limited, 2006.

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Book chapters on the topic "Seifert manifold"

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Montesinos-Amilibia, José María. "Seifert Manifolds." In Classical Tessellations and Three-Manifolds, 135–72. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61572-6_4.

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Fomenko, A. T., and S. V. Matveev. "Seifert Manifolds." In Algorithmic and Computer Methods for Three-Manifolds, 229–70. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-017-0699-5_10.

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Lee, Kyung, and Frank Raymond. "𝑆¹-actions on 3-dimensional manifolds." In Seifert Fiberings, 299–352. Providence, Rhode Island: American Mathematical Society, 2010. http://dx.doi.org/10.1090/surv/166/14.

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Lee, Kyung, and Frank Raymond. "Actions of compact Lie groups on manifolds." In Seifert Fiberings, 47–68. Providence, Rhode Island: American Mathematical Society, 2010. http://dx.doi.org/10.1090/surv/166/03.

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Lee, Kyung, and Frank Raymond. "Seifert manifolds with Γ∖𝐺/𝐾-fiber." In Seifert Fiberings, 159–77. Providence, Rhode Island: American Mathematical Society, 2010. http://dx.doi.org/10.1090/surv/166/09.

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Lee, Kyung, and Frank Raymond. "Classification of Seifert 3-manifolds via equivariant cohomology." In Seifert Fiberings, 353–82. Providence, Rhode Island: American Mathematical Society, 2010. http://dx.doi.org/10.1090/surv/166/15.

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Lee, John M. "The Seifert–Van Kampen Theorem." In Introduction to Topological Manifolds, 251–75. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-7940-7_10.

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Kulkarni, Ravi, Kyung Bai Lee, and Frank Raymond. "Deformation spaces for seifert manifolds." In Lecture Notes in Mathematics, 180–216. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0075224.

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Lee, Kyung Bai, and Frank Raymond. "Seifert manifolds modelled on principal bundles." In Transformation Groups, 207–15. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0085611.

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Gabrovšek, Boštjan, and Maciej Mroczkowski. "Link Diagrams in Seifert Manifolds and Applications to Skein Modules." In Springer Proceedings in Mathematics & Statistics, 117–41. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-68103-0_6.

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Conference papers on the topic "Seifert manifold"

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Hansen, Soren Kold, and Toshie Takata. "Quantum invariants of Seifert 3–manifolds and their asymptotic expansions." In Invariants of Knots and 3--manifolds. Mathematical Sciences Publishers, 2002. http://dx.doi.org/10.2140/gtm.2002.4.69.

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Howie, James. "Minimal Seifert manifolds for higher ribbon knots." In Conference in honour of David Epstein's 60th birthday. Mathematical Sciences Publishers, 1998. http://dx.doi.org/10.2140/gtm.1998.1.261.

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Ozsvath, Peter, and Zoltan Szabo. "On Heegaard Floer homology and Seifert fibered surgeries." In Conference on the Topology of Manifolds of Dimensions 3 and 4. Mathematical Sciences Publishers, 2004. http://dx.doi.org/10.2140/gtm.2004.7.181.

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Valdez-Sanchez, Luis G. "Seifert Klein bottles for knots with common boundary slopes." In Conference on the Topology of Manifolds of Dimensions 3 and 4. Mathematical Sciences Publishers, 2004. http://dx.doi.org/10.2140/gtm.2004.7.27.

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