A Jones polynomial for braid-like isotopies of oriented links and its categorification
arXiv:math/0503080 · doi:10.2140/agt.2005.5.1535
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.
19 pages, many figures