Augmented Biracks and their Homology
Geometric Topology
2013-09-09 v1 Quantum Algebra
Abstract
We introduce augmented biracks and define a (co)homology theory associated to augmented biracks. The new homology theory extends the previously studied Yang-Baxter homology with a combinatorial formulation for the boundary map and specializes to -reduced rack homology when the birack is a rack. We introduce augmented birack 2-cocycle invariants of classical and virtual knots and links and provide examples.
Cite
@article{arxiv.1309.1678,
title = {Augmented Biracks and their Homology},
author = {Jose Ceniceros and Mohamed Elhamdadi and Matthew Green and Sam Nelson},
journal= {arXiv preprint arXiv:1309.1678},
year = {2013}
}
Comments
16 pages