English

Topological Quandles and Invariants of Links

Geometric Topology 2007-05-23 v1 Algebraic Topology

Abstract

We introduce a notion of topological quandle. Given a topological quandle QQ we associate to every classical link LL in R3\R ^3 an invariant JQ(L)J_Q(L) which is a topological space (defined up to a homeomorphism). The space JQ(L)J_Q(L) can be interpreted as a space of colourings of a diagram of the link LL with colours from the quandle QQ.

Keywords

Cite

@article{arxiv.math/0508536,
  title  = {Topological Quandles and Invariants of Links},
  author = {Ryszard L. Rubinsztein},
  journal= {arXiv preprint arXiv:math/0508536},
  year   = {2007}
}

Comments

18 pages, 8 figures