Lie Ideal Enhancements of Counting Invariants

Published 22 Apr 2014 in math.GT and math.QA | (1404.5642v2)

Abstract: We define enhancements of the quandle counting invariant for knots and links with a finite labeling quandle Q embedded in the quandle of units of a Lie algebra \mathfrak{a} using Lie ideals. We provide examples demonstrating that the enhancement is stronger than the associated unenhanced counting invariant.

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