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Knots with identical Khovanov homology

Liam Watson
Algebraic & Geometric Topology 7 (2007) 1389–1407
DOI: 10.2140/agt.2007.7.1389

arXiv: math.GT/0606630
Abstract

We give a recipe for constructing families of distinct knots that have identical Khovanov homology and give examples of pairs of prime knots, as well as infinite families, with this property.

Keywords
Khovanov homology, knots
Mathematical Subject Classification 2000
Primary: 57M25, 57M27
References
Publication
Received: 9 January 2007
Revised: 5 August 2007
Accepted: 10 September 2007
Published: 15 October 2007
Authors
Liam Watson
Département de Mathématiques
Université du Québec à Montréal
Montréal
Canada
H3C 3P8
http://www.cirget.uqam.ca/~liam/