Cocycle Knot Invariants, Quandle Extensions, and Alexander Matrices
Geometric Topology
2007-05-23 v1 Quantum Algebra
Abstract
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.
Cite
@article{arxiv.math/0204113,
title = {Cocycle Knot Invariants, Quandle Extensions, and Alexander Matrices},
author = {J. Scott Carter and Angela Harris and Marina Appiou Nikiforou and Masahico Saito},
journal= {arXiv preprint arXiv:math/0204113},
year = {2007}
}
Comments
24 pages, 10 figures. submitted to the Kyoto conf. proceedings