Khovanov homology for virtual links with arbitrary coefficients

Vassily Olegovich Manturov

Published 2006-01-08, updated 2006-05-01Version 3

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