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

Benjamin Audoux, Thomas Fiedler

Published 2005-03-04, updated 2005-11-25Version 5

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.

Comments: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-61.abs.html
Journal: Algebr. Geom. Topol. 5 (2005) 1535-1553
Categories: math.GT, math.QA
Subjects: 57M27, 20F36
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