Virtual quandle for links in lens spaces

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.

16 pages, 10 figures

References in corpus (1)

• Grid Diagrams for Lens Spaces and Combinatorial Knot Floer Homology