Birack modules and their link invariants
Geometric Topology
2012-12-14 v2 Quantum Algebra
Abstract
We extend the rack algebra Z[X] defined by Andruskiewitsch and Grana to the case of biracks, enabling a notion of birack modules. We use these birack modules to define an enhancement of the birack counting invariant generalizing the birack module counting invariant in [8]. We provide examples demonstrating that the enhanced invariant is not determined by the Jones or Alexander polynomials and is strictly stronger than the unenhanced birack counting invariant.
Keywords
Cite
@article{arxiv.1103.0301,
title = {Birack modules and their link invariants},
author = {Regina Bauernschmidt and Sam Nelson},
journal= {arXiv preprint arXiv:1103.0301},
year = {2012}
}
Comments
11 pages. Version 2 includes changes suggested by referee