Volume 11, issue 4 (2011)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
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$\mathrm{SO}(3)$ homology of graphs and links

Benjamin Cooper, Matt Hogancamp and Vyacheslav Krushkal

Algebraic & Geometric Topology 11 (2011) 2137–2166
Abstract

The SO(3) Kauffman polynomial and the chromatic polynomial of planar graphs are categorified by a unique extension of the Khovanov homology framework. Many structural observations and computations of homologies of knots and spin networks are included.

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Keywords
categorification, Khovanov homology, Kauffmann polynomial, chromatic polynomial, spin network
Mathematical Subject Classification 2010
Primary: 57M27
Secondary: 57M25, 05C10, 05C31
References
Publication
Received: 29 December 2010
Accepted: 17 May 2011
Published: 26 July 2011
Authors
Benjamin Cooper
Department of Mathematics
University of Virginia
Charlottesville VA 22904-4137
USA
http://people.virginia.edu/~bjc4n
Matt Hogancamp
Department of Mathematics
University of Virginia
Charlottesville VA 22904-4137
USA
Vyacheslav Krushkal
Department of Mathematics
University of Virginia
Charlottesville VA 22904-4137
USA
http://www.math.virginia.edu/~vk6e