Khovanov homology for virtual links with arbitrary coefficients

2006/01/08 by Vassily Olegovich Manturov, Manturov, Vassily Olegovich
Computer Science · Mathematics · #57M25 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.math/0601152

openalex publication_date 2006/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct explicitly the Khovanov homology theory for virtual links with arbitrary coefficients by using the twisted coefficients method. This method also works for constructing Khovanov homology for ``non-oriented virtual knots'' in the sense of Viro, in particular, for knots in \bf RP³.

Related

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• Unoriented Virtual Khovanov Homology
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