English

Enhancements of the rack counting invariant via N-reduced dynamical cocycles

Geometric Topology 2011-08-23 v1 Quantum Algebra

Abstract

We introduce the notion of N-reduced dynamical cocycles and use these objects to define enhancements of the rack counting invariant for classical and virtual knots and links. We provide examples to show that the new invariants are not determined by the rack counting invariant, the Jones polynomial or the generalized Alexander polynomial.

Keywords

Cite

@article{arxiv.1108.4387,
  title  = {Enhancements of the rack counting invariant via N-reduced dynamical cocycles},
  author = {Alissa S. Crans and Sam Nelson and Aparna Sarkar},
  journal= {arXiv preprint arXiv:1108.4387},
  year   = {2011}
}

Comments

11 pages