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

Benjamin Audoux (1) , Thomas Fiedler (1)

1 LEP - Laboratoire Émile Picard

A braid-like isotopy for links in 3-space is an isotopy which uses only those Reidemeister moves which occure 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.

Domaines: Topologie géométrique [math.GT]; Algèbres quantiques [math.QA]

Benjamin Audoux, Thomas Fiedler. A Jones polynomial for braid-like isotopies of oriented links and its categorification. 2005. ⟨hal-00012105⟩