On integral Chang-Skjelbred computations with disconnected isotropy groups
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909240937938944 |
|---|---|
| author | Zoller, Leopold |
| author_facet | Zoller, Leopold |
| contents | The Chang-Skjelbred method computes the cohomology of a suitable space with a torus action from its equivariant one-skeleton. We show that, under certain restrictions on the cohomological torsion, the integral cohomology is encoded in the one-skeleton even in the presence of arbitrary disconnected isotropy groups. We provide applications to Hamiltonian actions as well as to the GKM case. In the latter, our results lead to a modification of the GKM formula for graph cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03052 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On integral Chang-Skjelbred computations with disconnected isotropy groups Zoller, Leopold Algebraic Topology 55N91 (primary), 57R91 (secondary) The Chang-Skjelbred method computes the cohomology of a suitable space with a torus action from its equivariant one-skeleton. We show that, under certain restrictions on the cohomological torsion, the integral cohomology is encoded in the one-skeleton even in the presence of arbitrary disconnected isotropy groups. We provide applications to Hamiltonian actions as well as to the GKM case. In the latter, our results lead to a modification of the GKM formula for graph cohomology. |
| title | On integral Chang-Skjelbred computations with disconnected isotropy groups |
| topic | Algebraic Topology 55N91 (primary), 57R91 (secondary) |
| url | https://arxiv.org/abs/2407.03052 |