Homology of posets with functor coefficients and its relation to Khovanov homology of knots

Abstract

We study homology groups of posets with functor coefficients and apply our results to give a novel approach to study Khovanov homology of knots and related homology theories.

18 pages

References in corpus (1)

• Regular coverings and fundamental groupoids of Alexandroff spaces

Cited by in corpus (2)

• (Co)homology theories for structured spaces arising from their corresponding poset
• A (co)homology theory for some preordered topological spaces