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A Jones polynomial for braid-like isotopies of oriented
links and its categorification
Benjamin Audoux and Thomas Fiedler
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Algebraic & Geometric Topology 5
(2005) 1535–1553
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Abstract
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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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Keywords
braid-like isotopies, Jones polynomials,
Khovanov homologies
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Mathematical Subject Classification
Primary: 57M27
Secondary: 20F36
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Publication
Received: 9 March 2005
Revised: 20 October 2005
Accepted: 24 October 2005
Published: 16 November 2005
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