Higher limits over the fusion orbit category via centralizers of amalgams
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915003222720512 |
|---|---|
| author | Bova, Marco Praderio |
| author_facet | Bova, Marco Praderio |
| contents | We study the Díaz-Park sharpness conjecture for fusion systems and prove that, under certain circumstances, there exists a 4 terms exact sequence relating the first two higher limits of the contravariant part of a Mackey functor over certain fusion systems. We show how this result can be applied to the family of Benson-Solomon fusion systems thus providing another approach to studying the sharpness for this family of fusion systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01352 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher limits over the fusion orbit category via centralizers of amalgams Bova, Marco Praderio Algebraic Topology 20J05, 55T99, 20C99, 20D20 We study the Díaz-Park sharpness conjecture for fusion systems and prove that, under certain circumstances, there exists a 4 terms exact sequence relating the first two higher limits of the contravariant part of a Mackey functor over certain fusion systems. We show how this result can be applied to the family of Benson-Solomon fusion systems thus providing another approach to studying the sharpness for this family of fusion systems. |
| title | Higher limits over the fusion orbit category via centralizers of amalgams |
| topic | Algebraic Topology 20J05, 55T99, 20C99, 20D20 |
| url | https://arxiv.org/abs/2411.01352 |