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2015 Totally twisted Khovanov homology
Lawrence Roberts
Geom. Topol. 19(1): 1-59 (2015). DOI: 10.2140/gt.2015.19.1

Abstract

We define a variation of Khovanov homology formally similar to totally twisted Heegaard–Floer homology. Over a certain field, this version of Khovanov homology has a completely explicit description in terms of the spanning trees of a link projection. We prove that this new theory is a link invariant and describe some of its properties. Finally, we provide the results of some computer computations of the invariant.

Citation

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Lawrence Roberts. "Totally twisted Khovanov homology." Geom. Topol. 19 (1) 1 - 59, 2015. https://doi.org/10.2140/gt.2015.19.1

Information

Received: 19 December 2011; Accepted: 17 April 2014; Published: 2015
First available in Project Euclid: 16 November 2017

zbMATH: 1366.57006
MathSciNet: MR3318747
Digital Object Identifier: 10.2140/gt.2015.19.1

Subjects:
Primary: 57M27
Secondary: 57M25

Keywords: Khovanov homology , Knot homology , Spanning trees

Rights: Copyright © 2015 Mathematical Sciences Publishers

Vol.19 • No. 1 • 2015
MSP
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