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
| Item Type: | Article |
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| 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: | 20 Sep 2025 01:44 |
| Published Version: | https://doi.org/10.1016/j.aim.2022.108354 |
| Status: | Published |
| Refereed: | Yes |
| Identification Number: | 10.1016/j.aim.2022.108354 |
| Related URLs: | |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:184798 |

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