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Coloured posets and their homology with applications to knot theory
Motivated by the definition of Khovanov homology I will present
the notion of a coloured poset and describe a homology functor for these
objects. I will explain how this is related to, and indeed generalises,
Khovanov's construction. I will then outline a theory of bundles for
coloured posets, producing in certain cases a Leray-Serre type spectral
sequence. The latter will then be used to produce a new spectral sequence
for computing the Khovanov homology of a knot.
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