Quandle homology and complex volume

DOI10.1007/s10711-013-9898-2zbMath1300.57012arXiv1012.2923OpenAlexW2017195174MaRDI QIDQ741631

Yuichi Kabaya, Ayumu Inoue

Publication date: 12 September 2014

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.2923

zbMATH Keywords

quandlehyperbolic volumeChern-Simons invariantextended Bloch groupquandle homology

Mathematics Subject Classification ID

Related Items (20)

Cocycles of \(G\)-Alexander biquandles and \(G\)-Alexander multiple conjugation biquandles ⋮ Row relations of twisted Alexander matrices and shadow quandle 2-cocycles ⋮ Shifting chain maps in quandle homology and cocycle invariants ⋮ Octahedral developing of knot complement. I: Pseudo-hyperbolic structure ⋮ Asymptotic behaviors in the homology of symmetric group and finite general linear group quandles ⋮ Presentations of Dehn quandles ⋮ Reidemeister transformations of the potential function and the solution ⋮ Cohomology pairings of 3-manifolds and their diagrammatic computation ⋮ Quandle cocycles from invariant theory ⋮ Symplectic quandles and parabolic representations of 2-bridge knots and links ⋮ On third homologies of groups and of quandles via the Dijkgraaf-Witten invariant and Inoue-Kabaya map ⋮ Braids, complex volume and cluster algebras ⋮ Quandle theory and the optimistic limits of the representations of link groups ⋮ Relative group homology theories with coefficients and the comparison homomorphism ⋮ Optimistic limit of the colored Jones polynomial and the existence of a solution ⋮ Applications of self-distributivity to Yang–Baxter operators and their cohomology ⋮ On the fundamental 3-classes of knot group representations ⋮ Cohomological invariants of representations of 3-manifold groups ⋮ Connected sum of representations of knot groups ⋮ Positive quandle homology and its applications in knot theory

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