On the skein module of the product of a surface and a circle

DOI10.1090/proc/14553zbMath1428.57009arXiv1804.05746OpenAlexW2964214478WikidataQ128435378 ScholiaQ128435378MaRDI QIDQ5233986

Patrick M. Gilmer, Gregor Masbaum

Publication date: 9 September 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.05746

zbMATH Keywords

Verlinde formulaBernoulli polynomialstopological quantum field theoryKauffman bracket skein moduleWitten-Reshetikhin-Turaev invariant

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Topological quantum field theories (aspects of differential topology) (57R56) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Related Items (4)

The finiteness conjecture for skein modules ⋮ A basis for the Kauffman skein module of the product of a surface and a circle ⋮ Generating sets for the Kauffman skein module of a family of Seifert fibered spaces ⋮ Infinite families of hyperbolic 3‐manifolds with finite‐dimensional skein modules

Cites Work

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• Representations of the Kauffman bracket skein algebra. I: Invariants and miraculous cancellations
• Irreducible factors of modular representations of mapping class groups arising in integral TQFT
• The skein module of torus knots
• The Kauffman bracket skein module of surgery on a \((2,2b)\) torus link
• The colored Jones polynomial and the \(A\)-polynomial of knots
• Conway and Kauffman modules of a solid torus
• KBSM of the product of a disk with two holes and \(S^1\)
• State models and the Jones polynomial
• Three-manifold invariants derived from the Kauffman bracket
• On the Kauffman bracket skein module of surgery on a trefoil
• Triangular decomposition of skein algebras
• Unicity for representations of the Kauffman bracket skein algebra
• The Kauffman bracket skein module of \(S^ 1\times S^ 2\)
• Skein theory and Turaev-Viro invariants
• Topological quantum field theories derived from the Kauffman bracket
• Kauffman bracket skein module of a connected sum of 3-manifolds
• Nine generators of the skein space of the 3-torus
• KAUFFMAN BRACKET SKEIN MODULE OF A FAMILY OF PRISM MANIFOLDS
• ON THE KAUFFMAN BRACKET SKEIN MODULE OF THE QUATERNIONIC MANIFOLD
• Structure of the Kauffman Bracket Skein Algebra of T² × I
• THE (2, ∞)-SKEIN MODULE OF LENS SPACES: A GENERALIZATION OF THE JONES POLYNOMIAL
• THE SKEIN METHOD FOR THREE-MANIFOLD INVARIANTS
• Skein modules and the noncommutative torus
• On the Kauffman Bracket Skein module of the 3-torus
• Asymptotics of quantum representations of surface groups
• The Kauffman bracket skein module of two-bridge links
• Integral lattices in TQFT

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