English

A Jones polynomial for braid-like isotopies of oriented links and its categorification

Geometric Topology 2017-10-31 v6 Quantum Algebra

Abstract

A braid-like isotopy for links in 3-space is an isotopy which uses only those Reidemeister moves which occur in isotopies of braids. We define a refined Jones polynomial and its corresponding Khovanov homology which are, in general, only invariant under braid-like isotopies.

Cite

@article{arxiv.math/0503080,
  title  = {A Jones polynomial for braid-like isotopies of oriented links and its categorification},
  author = {Benjamin Audoux and Thomas Fiedler},
  journal= {arXiv preprint arXiv:math/0503080},
  year   = {2017}
}

Comments

19 pages, many figures