Birack shadow modules and their link invariants
Geometric Topology
2011-06-03 v1 Quantum Algebra
Abstract
We introduce an associative algebra Z[X,S] associated to a birack shadow and define enhancements of the birack counting invariant for classical knots and links via representations of Z[X,S] known as shadow modules. We provide examples which demonstrate that the shadow module enhanced invariants are not determined by the Alexander polynomial or the unenhanced birack counting invariants.
Cite
@article{arxiv.1106.0336,
title = {Birack shadow modules and their link invariants},
author = {Sam Nelson and Katie Pelland},
journal= {arXiv preprint arXiv:1106.0336},
year = {2011}
}
Comments
10 pages