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

Mathematics – Geometric Topology

Scientific paper

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Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-61.abs.html

Scientific paper

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.

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