Homology of coloured posets: a generalisation of Khovanov's cube construction
Abstract
Description
We define a homology theory for a certain class of posets equipped with a representation. We show that when restricted to Boolean lattices this homology is isomorphic to the homology of the "cube" complex defined by Khovanov.
18 pages. Minor changes, including a strengthening of the main theorem
18 pages. Minor changes, including a strengthening of the main theorem