Everitt, Brent orcid.org/0000-0002-0395-338X and Turner, Paul (2015) Cellular cohomology of posets with local coefficients. Journal of Algebra. pp. 134-158. ISSN 1090-266X
Abstract
We describe a "cellular" approach to the computation of the cohomology of a poset with coefficients in a presheaf. A cellular cochain complex is constructed, described explicitly and shown to compute the cohomology under certain circumstances. The descriptions are refined further for certain classes of posets including the cell posets of regular CW-complexes and geometric lattices.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Elsevier 2015. This is an author produced version of a paper published in Journal of Algebra. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Cosmology of a poset with coefficients in a presheaf,Cellular cohomology,Khovanov homology,Brulhat order,Geometric lattices |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Depositing User: | Pure (York) |
Date Deposited: | 07 Dec 2015 10:23 |
Last Modified: | 16 Oct 2024 12:25 |
Published Version: | https://doi.org/10.1016/j.jalgebra.2015.05.007 |
Status: | Published |
Refereed: | No |
Identification Number: | 10.1016/j.jalgebra.2015.05.007 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:92431 |