Local formula for the index of a Fourier Integral Operator
| dc.creator | Leichtnam, Eric | |
| dc.creator | Nest, Ryszard | |
| dc.creator | Tsygan, Boris | |
| dc.date | 2000-04-05 | |
| dc.date.accessioned | 2026-07-07T04:34:37Z | |
| dc.date.available | 2026-07-07T04:34:37Z | |
| dc.description | We show that the index of an elliptic Fourier integral operator associated to a contact diffeomorphism $ϕ$ of cosphere bundles of two Riemannian manifolds X and Y is given by $\int_{B^*X}\hat{A}(T^*X)\expθ - \int_{B^*Y}\hat{A}(T^*Y)\expθ$. Here $B^*$ stands for the unit coball bundle and $θ$ is a certain characteristic class depending on the principal symbol of the Fourier integral operator. In the special case when X=Y we obtain a different proof of the theorem of Epstein and Melrose. | |
| dc.description | 25 pages, preprint | |
| dc.identifier | https://arxiv.org/abs/math/0004022 | |
| dc.identifier | http://arxiv.org/abs/math/0004022 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58973 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Quantum Algebra | |
| dc.subject | 58J40; 35S30; 46L65 | |
| dc.title | Local formula for the index of a Fourier Integral Operator | |
| dc.type | text |