English

Virtual quandle for links in lens spaces

Algebraic Topology 2017-02-21 v1 Geometric Topology

Abstract

We construct a virtual quandle for links in lens spaces L(p,q)L(p,q), with q=1q=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.

Keywords

Cite

@article{arxiv.1702.05964,
  title  = {Virtual quandle for links in lens spaces},
  author = {A. Cattabriga and T. Nasybullov},
  journal= {arXiv preprint arXiv:1702.05964},
  year   = {2017}
}

Comments

16 pages, 10 figures

R2 v1 2026-06-22T18:22:56.790Z