Affiliation:
1. Department of Mathematical Sciences, Claremont McKenna College, 850 Columbia Ave., Claremont, CA 91711, USA
Abstract
We extend the rack algebra ℤ[X] defined by Andruskiewitsch and Graña 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 [A. Haas, G. Heckel, S. Nelson, J. Yuen and Q. Zhang, Rack module enhancements of counting invariants, Osaka J. Math.49 (2012) 471–488]. We provide examples demonstrating that the enhanced invariant is not determined by the Jones or Alexander polynomials and is stronger than the unenhanced birack counting invariant.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,General Mathematics
Cited by
4 articles.
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