Lie groupoid deformations and convolution algebras
| Authors | |
|---|---|
| Publication date | 12-2023 |
| Journal | Journal of Geometry and Physics |
| Article number | 105012 |
| Volume | Issue number | 194 |
| Number of pages | 23 |
| Organisations |
|
| Abstract | We define a morphism from the deformation complex of a Lie groupoid to the Hochschild complex of its convolution algebra, and show that it maps the class of a geometric deformation to the algebraic class of the induced deformation in Hochschild cohomology. Applied to the adiabatic groupoid, we show that the van Est map to deformation cohomology of Lie algebroids is induced by taking the classical limit of a quantization map on the dual of the Lie algebroid. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1016/j.geomphys.2023.105012 |
| Other links | https://www.scopus.com/pages/publications/85173225238 |
| Downloads |
Lie groupoid deformations and convolution algebras
(Final published version)
|
| Permalink to this page | |