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Paper detail

Birack shadow modules and their link invariants

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.

preprint2011arXivOpen access
Sam NelsonKatie Pelland
math.QAmath.GT
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Sam NelsonKatie Pelland

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