Journal article
Morse theory for complexes of groups
- Abstract:
- We construct an equivariant version of discrete Morse theory for simplicial complexes endowed with group actions. The key ingredient is a 2-categorical criterion for making acyclic partial matchings on the quotient space compatible with an overlaid complex of groups. We use the discrete flow category of any such compatible matching to build the corresponding Morse complex of groups. Our main result establishes that the development of the Morse complex of groups recovers the original simplicial complex up to equivariant homotopy equivalence.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 694.4KB, Terms of use)
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- Publisher copy:
- 10.1016/j.jpaa.2024.107606
Authors
+ Engineering and Physical Sciences Research Council
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- Funder identifier:
- https://ror.org/0439y7842
- Grant:
- EP/R018472/1
- Publisher:
- Elsevier
- Journal:
- Journal of Pure and Applied Algebra More from this journal
- Volume:
- 228
- Issue:
- 6
- Article number:
- 107606
- Publication date:
- 2024-01-12
- Acceptance date:
- 2023-12-26
- DOI:
- EISSN:
-
1873-1376
- ISSN:
-
0022-4049
- Language:
-
English
- Pubs id:
-
1592645
- Local pid:
-
pubs:1592645
- Deposit date:
-
2024-01-01
- ARK identifier:
Terms of use
- Copyright holder:
- Yerolemou and Nanda
- Copyright date:
- 2024
- Rights statement:
- © 2024 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http:// creativecommons.org/licenses/by/4.0/).
- Licence:
- CC Attribution (CC BY)
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