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The Khovanov Complex for Virtual Links

Vassily Olegovich Manturov
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Abstract

In the present paper, we construct the Khovanov homology theory for virtual links. Besides the direct approach with Z_{2} 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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Vassily Olegovich Manturov. 2005-01-20. The Khovanov Complex for Virtual Links. https://arxiv.org/abs/math/0501317

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