Faculté des sciences

Homology of coloured posets: A generalisation of Khovanov's cube construction

Everitt, Brent ; Turner, Paul

In: Journal of Algebra, 2009, vol. 322, no. 2, p. 429-448

We define a homology theory for a certain class of posets equipped with a pre-sheaf of modules. We show that when restricted to Boolean lattices this homology is isomorphic to the homology of the “cube” complex defined by Khovanov. Plus

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    Summary
    We define a homology theory for a certain class of posets equipped with a pre-sheaf of modules. We show that when restricted to Boolean lattices this homology is isomorphic to the homology of the “cube” complex defined by Khovanov.