Everitt, Brent orcid.org/0000-0002-0395-338X and Turner, Paul (2022) Deletion-restriction for sheaf homology of graded atomic lattices. Advances in Mathematics. 108354. ISSN 0001-8708
Abstract
We give a long exact sequence for the homology of a graded atomic lattice equipped with a sheaf of modules, in terms of the deleted and restricted lattices. This is then used to compute the homology of the arrangement lattice of a hyperplane arrangement equipped with the natural sheaf. This generalises an old result of Lusztig.
Metadata
Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2022 Elsevier Inc. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. |
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: | 16 Mar 2022 10:10 |
Last Modified: | 06 Dec 2023 14:38 |
Published Version: | https://doi.org/10.1016/j.aim.2022.108354 |
Status: | Published |
Refereed: | Yes |
Identification Number: | https://doi.org/10.1016/j.aim.2022.108354 |
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