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arxiv: math/0501317 · v1 · submitted 2005-01-20 · 🧮 math.GT

The Khovanov Complex for Virtual Links

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keywords khovanovhomologylinksvirtualapproachapproachesatombesides
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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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