arXiv:1404.5642 Abstract | arXiv Analytics

arXiv:1404.5642 [math.GT]Abstract References Reviews Resources

Lie Ideal Enhancements of Counting Invariants

Published 2014-04-22, updated 2015-07-27Version 2

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.

Comments: 9 pages. Version 2 includes changes suggested by referee

Categories: math.GT, math.QA

Subjects: 57M27, 57M25

Keywords: lie ideal enhancements, define enhancements, finite labeling quandle, lie algebra, quandle counting invariant

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