Vector fields and derivations on differentiable stacks
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929622587801600 |
|---|---|
| author | Herrera-Carmona, Juan Sebastian Ortiz, Cristian Waldron, James |
| author_facet | Herrera-Carmona, Juan Sebastian Ortiz, Cristian Waldron, James |
| contents | We introduce and study module structures on both the dgla of multiplicative vector fields and the graded algebra of functions on Lie groupoids. We show that there is an associated structure of a graded Lie-Rinehart algebra on the vector fields of a differentiable stack over its smooth functions that is Morita invariant in an appropriate sense. Furthermore, we show that associated Van-Est type maps are compatible with those module structures. We also present several examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07436 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vector fields and derivations on differentiable stacks Herrera-Carmona, Juan Sebastian Ortiz, Cristian Waldron, James Differential Geometry 22A22, 18F20 We introduce and study module structures on both the dgla of multiplicative vector fields and the graded algebra of functions on Lie groupoids. We show that there is an associated structure of a graded Lie-Rinehart algebra on the vector fields of a differentiable stack over its smooth functions that is Morita invariant in an appropriate sense. Furthermore, we show that associated Van-Est type maps are compatible with those module structures. We also present several examples. |
| title | Vector fields and derivations on differentiable stacks |
| topic | Differential Geometry 22A22, 18F20 |
| url | https://arxiv.org/abs/2412.07436 |