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arxiv: 0711.0103 · v2 · submitted 2007-11-01 · 🧮 math.GT · math.CO

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

classification 🧮 math.GT math.CO
keywords homologycubekhovanovposetsbooleancertainclasscoloured
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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.

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