Research output: Contribution to journal › Article

Journal | Transactions of the American Mathematical Society |
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Date | Published - Jun 2012 |

Issue number | 6 |

Volume | 364 |

Number of pages | 22 |

Pages (from-to) | 3137-3158 |

Original language | English |

The decorated hypercube found in the construction of Khovanov homology for links is an example of a Boolean lattice equipped with a presheaf of modules. One can place this in a wider setting as an example of a coloured poset, that is to say a poset with a unique maximal element equipped with a presheaf of modules. In this paper we initiate the study of a bundle theory for coloured posets, producing for a certain class of base posets a Leray-Serre type spectral sequence. We then show how this theory finds application in Khovanov homology by producing a new spectral sequence converging to the Khovanov homology of a given link.

- Algebra, Pure Mathematics

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