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The Khovanov Complex for Virtual Links

2005/01/20 by Vassily Olegovich Manturov, Manturov, Vassily Olegovich
Mathematics · #57525 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57525

paper · pdf · doi:10.48550/arxiv.math/0501317

arxiv created 2005/01/20 · arxiv updated 2009/12/01

Abstract

In the present paper, we construct the Khovanov homology theory for virtual links. Besides the direct approach with Z2 coefficients we also describe the Khovanov homology for framed links and the Khovanov homology using ``double cover''. The latter two approaches are based on the notion of ``atom''.

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