On the fundamental 3-classes of knot group representations

DOI10.1007/s10711-019-00442-4zbMath1439.57024arXiv1609.05766OpenAlexW2963067818MaRDI QIDQ2290840

Takefumi Nosaka

Publication date: 29 January 2020

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

Full work available at URL: https://arxiv.org/abs/1609.05766

zbMATH Keywords

triangulationlink complementHochschild homologygroup representationknot grouppairingtorus knotlink diagramperipheral systemJSJ-decompositionDijkgraaf-Witten invariantlongitudecable knotChern-Simons invariantquandle homologyhyperbolic link\(3\)-manifoldprime knotmalnormal subgroupmeridianlink exteriorlink quandlepushforward\(3\)-cocycleboundary torusInoue-Kabaya maprelative group homology

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Cohomology of groups (20J06) Topological methods in group theory (57M07) Fundamental group, presentations, free differential calculus (57M05) Representation theory of groups (20C99) Knot theory (57K10) Invariants of 3-manifolds (including skein modules, character varieties) (57K31) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12) Hyperbolic 3-manifolds (57K32)

Related Items (3)

Cohomology pairings of 3-manifolds and their diagrammatic computation ⋮ Twisted cohomology pairings of knots. III: Triple cup products ⋮ Cohomological invariants of representations of 3-manifold groups

Cites Work

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