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Rotors in Khovanov Homology

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Published:2015-06-02
Printed: Mar 2016
• Joseph MacColl,
University of Glagsow, School of Mathematics and Statistics , Glasgow, UK
 Format: LaTeX MathJax PDF

Abstract

Anstee, Przytycki, and Rolfsen introduced the idea of rotants, pairs of links related by a generalised form of link mutation. We exhibit infinitely many pairs of rotants which can be distinguished by Khovanov homology, but not by the Jones polynomial.
 Keywords: geometric topology, knot theory, rotants, khovanov homology, jones polynomial
 MSC Classifications: 57M27 - Invariants of knots and 3-manifolds 57M25 - Knots and links in $S^3$ {For higher dimensions, see 57Q45}

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