Birack shadow modules and their link invariants

Details Birack shadow modules and their link invariants Birack shadow modules and their link invariants

2011-06-01

arxiv.org/abs/1106.0336v1

Mathematics

Geometric Topology

10 pages

Scientific paper

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.

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