Open Access
2011 $\mathrm{SO}(3)$ homology of graphs and links
Benjamin Cooper, Matt Hogancamp, Vyacheslav Krushkal
Algebr. Geom. Topol. 11(4): 2137-2166 (2011). DOI: 10.2140/agt.2011.11.2137

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.

Citation

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Benjamin Cooper. Matt Hogancamp. Vyacheslav Krushkal. "$\mathrm{SO}(3)$ homology of graphs and links." Algebr. Geom. Topol. 11 (4) 2137 - 2166, 2011. https://doi.org/10.2140/agt.2011.11.2137

Information

Received: 29 December 2010; Accepted: 17 May 2011; Published: 2011
First available in Project Euclid: 19 December 2017

zbMATH: 1232.57014
MathSciNet: MR2826934
Digital Object Identifier: 10.2140/agt.2011.11.2137

Subjects:
Primary: 57M27
Secondary: 05C10 , 05C31 , 57M25

Keywords: categorification , chromatic polynomial , Kauffmann polynomial , Khovanov homology , spin network

Rights: Copyright © 2011 Mathematical Sciences Publishers

Vol.11 • No. 4 • 2011
MSP
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