English

Rack invariants of links in $L(p,1)$

Geometric Topology 2019-10-01 v2

Abstract

We describe a presentation for the augmented fundamental rack of a link in the lens space L(p,1)L(p,1). Using this presentation, the (enhanced) counting rack invariants that have been defined for the classical links are applied to the links in L(p,1)L(p,1). In this case, the counting rack invariants also include the information about the action of π1(L(p,1))\pi_{1}(L(p,1)) on the augmented fundamental rack of a link.

Keywords

Cite

@article{arxiv.1703.00335,
  title  = {Rack invariants of links in $L(p,1)$},
  author = {Eva Horvat},
  journal= {arXiv preprint arXiv:1703.00335},
  year   = {2019}
}