Extensions of Quandles and Cocycle Knot Invariants
Geometric Topology
2007-05-23 v1 Algebraic Topology
Abstract
Quandle cocycles are constructed from extensions of quandles. The theory is parallel to that of group cohomology and group extensions. An interpretation of quandle cocycle invariants as obstructions to extending knot colorings is given, and is extended to links component-wise.
Cite
@article{arxiv.math/0107021,
title = {Extensions of Quandles and Cocycle Knot Invariants},
author = {J. Scott Carter and Mohamed Elhamdadi and Marina Appiou Nikiforou and Masahico Saito},
journal= {arXiv preprint arXiv:math/0107021},
year = {2007}
}