Birack modules and their link invariants

Regina Bauernschmidt; Sam Nelson

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arXiv · 1103.0301

Birack modules and their link invariants

Regina Bauernschmidt·Sam Nelson

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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.

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Regina Bauernschmidt, Sam Nelson. 2011-03-01. Birack modules and their link invariants. https://arxiv.org/abs/1103.0301

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