Hurmuzov, Mihail ORCID: https://orcid.org/0000-0002-8366-7497 (2021) A Cohomological Bundle Theory for Sheaf Homology. PhD thesis, University of York.
Abstract
The construction of the Khovanov homology of links motivates an interest in decorated Boolean lattices. Placing this work in the context of a bundle theory of presheaves on small categories, we produce, for a certain set of naturally occurring cases, a Leray-Serre type spectral sequence relating the bundle to the cohomology of the total sheaf. This gives a reduction property for the cohomology of sheaves on certain posets.
Metadata
Supervisors: | Everitt, Brent |
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Related URLs: | |
Keywords: | Homological algebra, sheaf cohomology |
Awarding institution: | University of York |
Academic Units: | The University of York > Mathematics (York) |
Identification Number/EthosID: | uk.bl.ethos.861182 |
Depositing User: | Mr Mihail Hurmuzov |
Date Deposited: | 14 Sep 2022 12:29 |
Last Modified: | 21 Oct 2022 09:53 |
Open Archives Initiative ID (OAI ID): | oai:etheses.whiterose.ac.uk:31152 |
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