Coarse cohomology of configuration space and coarse embedding
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_ | 1866915595676549120 |
|---|---|
| author | Banerjee, Arka |
| author_facet | Banerjee, Arka |
| contents | We introduce a notion of equivariant coarse cohomology of the complement of a subspace in a metric space. We use this cohomology to define a notion of coarse cohomology of the configuration space of a metric space and develop tools to compute this cohomology under certain conditions. As an application of this theory, we show that certain classes in the coarse cohomology of configuration space obstruct coarse embedding between two metric spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07720 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Coarse cohomology of configuration space and coarse embedding Banerjee, Arka Metric Geometry Algebraic Topology We introduce a notion of equivariant coarse cohomology of the complement of a subspace in a metric space. We use this cohomology to define a notion of coarse cohomology of the configuration space of a metric space and develop tools to compute this cohomology under certain conditions. As an application of this theory, we show that certain classes in the coarse cohomology of configuration space obstruct coarse embedding between two metric spaces. |
| title | Coarse cohomology of configuration space and coarse embedding |
| topic | Metric Geometry Algebraic Topology |
| url | https://arxiv.org/abs/2401.07720 |