Homology of matching complexes and representations of symmetric groups

Michael Bate; Brent Everitt; Samuel Ford

doi:10.48550/arXiv.2312.13750

Homology of matching complexes and representations of symmetric groups

Michael Bate, Brent Everitt, Samuel Ford

Mathematics

Research output: Working paper › Preprint

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.

Original language	English
Publisher	arXiv
DOIs	https://doi.org/10.48550/arXiv.2312.13750
Publication status	Published - 21 Dec 2023

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10.48550/arXiv.2312.13750Licence: CC BY

Cite this

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title = "Homology of matching complexes and representations of symmetric groups",

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.",

author = "Michael Bate and Brent Everitt and Samuel Ford",

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