Khovanov homology for virtual links with arbitrary coefficients

Details Khovanov homology for virtual links with arbitrary coefficients Khovanov homology for virtual links with arbitrary coefficients

2006-01-08

arxiv.org/abs/math/0601152v3

Mathematics

Geometric Topology

20 pages

Scientific paper

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 ${\bf R}P^{3}$.

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