Simplicial sheaves of modules and Morita invariance of groupoid cohomology
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866908526894383104 |
|---|---|
| author | Tang, Xiang Villatoro, Joel |
| author_facet | Tang, Xiang Villatoro, Joel |
| contents | In this article we develop a unified framework for proving Morita invariance of cohomology theories associated to Lie groupoids. Our approach is to view these cohomology theories as arising from sheaves of modules on the nerve of the groupoid. We establish criteria for when such sheaves of modules give rise to Morita invariant cohomology theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_07285 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simplicial sheaves of modules and Morita invariance of groupoid cohomology Tang, Xiang Villatoro, Joel Differential Geometry Operator Algebras In this article we develop a unified framework for proving Morita invariance of cohomology theories associated to Lie groupoids. Our approach is to view these cohomology theories as arising from sheaves of modules on the nerve of the groupoid. We establish criteria for when such sheaves of modules give rise to Morita invariant cohomology theories. |
| title | Simplicial sheaves of modules and Morita invariance of groupoid cohomology |
| topic | Differential Geometry Operator Algebras |
| url | https://arxiv.org/abs/2509.07285 |