#### Volume 11, issue 4 (2011)

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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 $SO\left(3\right)$ 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.

##### Keywords
categorification, Khovanov homology, Kauffmann polynomial, chromatic polynomial, spin network
##### Mathematical Subject Classification 2010
Primary: 57M27
Secondary: 57M25, 05C10, 05C31