Virtual quandle for links in lens spaces

Published 20 Feb 2017 in math.AT and math.GT | (1702.05964v1)

Abstract: We construct a virtual quandle for links in lens spaces $L(p,q)$, with $q=1$. This invariant has two valuable advantages over an ordinary fundamental quandle for links in lens spaces: the virtual quandle is an essential invariant and the presentation of the virtual quandle can be easily written from the band diagram of a link.

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