An equivariant index formula for almost-CR manifolds
| dc.creator | Fitzpatrick, Sean | |
| dc.date | 2008-10-02 | |
| dc.date | 2009-02-01 | |
| dc.date.accessioned | 2026-07-07T13:12:55Z | |
| dc.date.available | 2026-07-07T13:12:55Z | |
| dc.description | We consider a consider the case of a compact manifold M, together with the following data: the action of a compact Lie group H and a smooth H-invariant distribution E, such that the H-orbits are transverse to E. These data determine a natural equivariant differential form with generalized coefficients J(E,X) whose properties we describe. When E is equipped with a complex structure, we define a class of symbol mappings in terms of the resulting almost-CR structure that are H-transversally elliptic whenever the action of H is transverse to E. We determine a formula for the H-equivariant index of such symbols that involves only J(E,X) and standard equivariant characteristic classes. This formula generalizes the formula given in arXiv:0712.2431 for the case of a contact manifold. | |
| dc.description | 17 pages. Version 2 contains a few typo fixes, and updated references | |
| dc.identifier | https://arxiv.org/abs/0810.0338 | |
| dc.identifier | http://arxiv.org/abs/0810.0338 | |
| dc.identifier | doi:10.1093/imrn/rnp057 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229728 | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.title | An equivariant index formula for almost-CR manifolds | |
| dc.type | text |