Twisting Kuperberg invariants via Fox calculus and Reidemeister torsion

DOI10.2140/agt.2022.22.2419OpenAlexW3094807492MaRDI QIDQ2092764

Daniel López Neumann

Publication date: 3 November 2022

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.02925

zbMATH Keywords

Reidemeister torsionquantum invariantssutured manifolds

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Cites Work

• Unnamed Item
• Unnamed Item
• Non-semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants
• Twisted Alexander polynomials detect fibered 3-manifolds
• Kuperberg and Turaev-Viro invariants in unimodular categories
• Holomorphic discs and sutured manifolds
• The Thurston norm and twisted Alexander polynomials
• Homotopy quantum field theory. With appendices by Michael Müger and Alexis Virelizier.
• The sutured Floer homology polytope
• Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple
• Quantum field theory and the Jones polynomial
• Twisted knot polynomials: inversion, mutation and concordance
• Twisted Alexander invariants, Reidemeister torsion, and Casson-Gordon invariants
• Twisted Alexander polynomial for finitely presentable groups
• Hopf group-coalgebras
• Holomorphic disks and topological invariants for closed three-manifolds
• Ribbon graphs and their invariants derived from quantum groups
• Noninvolutory Hopf algebras and \(3\)-manifold invariants
• On two invariants of three manifolds from Hopf algebras
• The Alexander polynomial as quantum invariant of links
• Holonomy invariants of links and nonabelian Reidemeister torsion
• Invariants of 3-manifolds via link polynomials and quantum groups
• Generalized Kuperberg invariants of 3-manifolds
• Hopf Algebras
• The decategorification of sutured Floer homology
• A Survey of Twisted Alexander Polynomials
• Reidemeister torsion, hyperbolic three-manifolds, and character varieties
• INVOLUTORY HOPF ALGEBRAS AND 3-MANIFOLD INVARIANTS
• Involutory Hopf group-coalgebras and flat bundles over 3-manifolds
• The Group of Automorphisms of a Semisimple Hopf Algebra Over a Field of Characteristic 0 is Finite
• On the relation between the WRT invariant and the Hennings invariant
• A polynomial invariant for knots via von Neumann algebras
• Semisimple Cosemisimple Hopf Algebras
• Invariants of Links and 3-Manifolds Obtained from Hopf Algebras
• Kuperberg invariants for balanced sutured 3-manifolds
• Naturality and Mapping Class Groups in Heegaard Floer Homology
• Tensor Categories
• Foliations and the topology of 3-manifolds
• Quantum invariants of knots and 3-manifolds
• Representations of knot groups and twisted Alexander polynomials
• Triangular Hopf algebras with the Chevalley property

This page was built for publication: Twisting Kuperberg invariants via Fox calculus and Reidemeister torsion