Number one in the UK and eighth in the world in the Times Higher Education rankings of universities under 50 years old

Supporter of LMS Good Practice Award

Bundles of coloured posets and a Leray-Serre spectral sequence for Khovanov homology

Research group:
Algebra | Pure Mathematics
TitleBundles of coloured posets and a Leray-Serre spectral sequence for Khovanov homology
Publication TypeJournal Article
Year of Publication2012
AuthorsEveritt B, Turner P
JournalTransactions of the American Mathematical Society
Volume364
Start Page3137
Issue6
Pagination3137-3158
AbstractThe 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.
URLhttp://dx.doi.org/10.1090/S0002-9947-2012-05459-6
DOI10.1090/S0002-9947-2012-05459-6
E-print numberarXiv:0808.1686v1

Tagged | XML | BibTex | Google Scholar

Edited 14 Oct 2012 - 23:48 by bje1

Back to the Top