Cocycle Knot Invariants, Quandle Extensions, and Alexander Matrices

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The theory of quandle (co)homology and cocycle knot invariants is rapidly being developed. We begin with a summary of these recent advances. One such advance is the notion of a dynamical cocycle. We show how dynamical cocycles can be used to color knotted surfaces that are obtained from classical knots by twist-spinning. We also demonstrate relations between cocycle invariants and Alexander matrices.
24 pages, 10 figures. submitted to the Kyoto conf. proceedings

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Geometric Topology, Quantum Algebra, 57M25; 57Q45; 57M05; 55N99; 55N22

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http://salesiana.dossiersoluciones.com/handle/123456789/63757

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0204113
 http://arxiv.org/abs/math/0204113

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arXiv