Twisted Kuperberg invariants of knots and Reidemeister torsion via twisted Drinfeld doubles

DOI10.1090/tran/9099MaRDI QIDQ6571605

Daniel López Neumann

Publication date: 12 July 2024

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

zbMATH Keywords

Reidemeister torsionquantum invariantsReshetikhin-Turaev invariantKuperberg invariant

Mathematics Subject Classification ID

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

Cites Work

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• Non-semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants
• The Picard crossed module of a braided tensor category
• Fusion categories and homotopy theory
• Centers of graded fusion categories
• Homotopy quantum field theory. With appendices by Michael Müger and Alexis Virelizier.
• Twisted Alexander invariants, Reidemeister torsion, and Casson-Gordon invariants
• Twisted Alexander polynomial for finitely presentable groups
• Hopf group-coalgebras
• 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
• Braided Picard groups and graded extensions of braided tensor categories
• Twisting Kuperberg invariants via Fox calculus and Reidemeister torsion
• Holonomy invariants of links and nonabelian Reidemeister torsion
• Holonomy braidings, biquandles and quantum invariants of links with \(\mathsf{SL}_2(\mathbb{C})\) flat connections
• Autoequivalences of tensor categories attached to quantum groups at roots of 1
• Quantum invariants of 3-manifolds via link surgery presentations and non-semi-simple categories
• Hopf Algebras
• A Survey of Twisted Alexander Polynomials
• Reidemeister torsion, hyperbolic three-manifolds, and character varieties
• INVOLUTORY HOPF ALGEBRAS AND 3-MANIFOLD INVARIANTS
• INVARIANTS OF COLORED LINKS
• Kuperberg invariants for balanced sutured 3-manifolds
• On 3-dimensional homotopy quantum field theory II: The surgery approach
• Invariants of tangles with flat connections in their complements
• Graded Quantum Groups and Quasitriangular Hopf Group-Coalgebras
• Quantum invariants of knots and 3-manifolds
• Representations of knot groups and twisted Alexander polynomials

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