Homology TQFT's and the Alexander–Reidemeister Invariant of 3-Manifolds via Hopf Algebras and Skein Theory

DOI10.4153/CJM-2003-033-5zbMath1083.57038arXivmath/0008204MaRDI QIDQ4461857

Thomas Kerler

Publication date: 18 May 2004

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0008204

zbMATH Keywords

skein theorytopological quantum field theoryAlexander-Reidemester invariant

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Algebraic moduli problems, moduli of vector bundles (14D20) Topological quantum field theories (aspects of differential topology) (57R56)

Related Items (9)

Integrality and gauge dependence of Hennings TQFTs ⋮ Non-semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants ⋮ Bottom tangles and universal invariants ⋮ Renormalized Hennings invariants and \(2+1\)-TQFTs ⋮ A GNS construction of three-dimensional abelian Dijkgraaf–Witten theories ⋮ On two invariants of three manifolds from Hopf algebras ⋮ On the relation between the WRT invariant and the Hennings invariant ⋮ On the cut number of a \(3\)-manifold ⋮ Relations between Witten-Reshetikhin-Turaev and nonsemisimple \(\mathfrak{sl}(2)\) 3-manifold invariants

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