Bate, Michael orcid.org/0000-0002-6513-2405, Everitt, Brent orcid.org/0000-0002-0395-338X, Ford, Samuel et al. (1 more author) (2026) Homology of matching complexes and representations of symmetric groups. Proceedings of the American Mathematical Society. ISSN: 1088-6826
Abstract
We compute the cohomology of the matching complex for the complete hypergraph and analyse the symmetric group representations carried by this cohomology. Our main technical tool is the theory of shellings.
Metadata
| Item Type: | Article |
|---|---|
| Authors/Creators: |
|
| Copyright, Publisher and Additional Information: | This is an author-produced version of the published paper. Uploaded in accordance with the University’s Research Publications and Open Access policy. |
| Dates: |
|
| Institution: | The University of York |
| Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
| Date Deposited: | 05 Nov 2025 16:30 |
| Last Modified: | 25 Feb 2026 00:21 |
| Published Version: | https://doi.org/10.1090/proc/17573 |
| Status: | Published online |
| Refereed: | Yes |
| Identification Number: | 10.1090/proc/17573 |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:234058 |
Download
Filename: Homological_reps_of_symmetric_groups_1.pdf
Description: Homological_reps_of_symmetric_groups 1
Licence: CC-BY 2.5

CORE (COnnecting REpositories)
CORE (COnnecting REpositories)