Polynomial cocycles of Alexander quandles and applications
Geometric Topology
2007-05-23 v1
Abstract
Cocycles are constructed by polynomial expressions for Alexander quandles. As applications, non-triviality of some quandle homology groups are proved, and quandle cocycle invariants of knots are studied. In particular, for an infinite family of quandles, the non-triviality of quandle homology groups is proved for all odd dimensions.
Cite
@article{arxiv.0704.3995,
title = {Polynomial cocycles of Alexander quandles and applications},
author = {Kheira Ameur and Masahico Saito},
journal= {arXiv preprint arXiv:0704.3995},
year = {2007}
}