%0 Journal Article %T A Jones polynomial for braid-like isotopies of oriented links and its categorification %A Benjamin Audoux %A Thomas Fiedler %J Mathematics %D 2005 %I arXiv %R 10.2140/agt.2005.5.1535 %X 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. %U http://arxiv.org/abs/math/0503080v5