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05 November 2024
 
  » arxiv » 0711.0103

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Homology of coloured posets: a generalisation of Khovanov's cube construction
Brent Everitt ; Paul Turner ;
Date 1 Nov 2007
AbstractWe generalise Khovanov’s chain complex built from a ’’cube’’ of modules and homomorphisms, to a more general setting. We define the notion of a coloured poset and construct a homology functor for these objects, showing that for coloured Boolean lattices the resulting homology agrees with the homology of Khovanov’s complex.
Source arXiv, 0711.0103
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