SO(3) homology of graphs and links

Cooper, Benjamin; Hogancamp, Matt; Krushkal, Vyacheslav

doi:10.2140/agt.2011.11.2137

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

$\mathrm{SO}(3)$ homology of graphs and links

Benjamin Cooper, Matt Hogancamp and Vyacheslav Krushkal

Algebraic & Geometric Topology 11 (2011) 2137–2166

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.

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

Volume 11, issue 4 (2011)