Hochschild cohomology and characteristic classes for star-products
| dc.creator | Weinstein, Alan | |
| dc.creator | Xu, Ping | |
| dc.date | 1997-09-30 | |
| dc.date | 1997-10-05 | |
| dc.date.accessioned | 2026-07-07T09:08:52Z | |
| dc.date.available | 2026-07-07T09:08:52Z | |
| dc.description | We show that the Hochschild cohomology of the algebra obtained by formal deformation quantization on a symplectic manifold is isomorphic to the formal series with coefficients in the de Rham cohomology of the manifold. The cohomology class obtained by differentiating the star-product with respect to the deformation parameter is seen to be closely related to the characteristic class of the quantization. A fundamental role in the analysis is played by ``quantum Liouville operators,'' which rescale the deformation parameter in the same way in which Liouville vector fields scale the Poisson structure (or the units of action). Several examples are given. | |
| dc.description | LaTex2e, 22 pages, minor corrections in the last section and a reference added (Festschrift for V.I. Arnol'd's 60th birthday, V2, AMS, Providence, to appear) | |
| dc.identifier | https://arxiv.org/abs/q-alg/9709043 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9709043 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150877 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Differential Geometry | |
| dc.title | Hochschild cohomology and characteristic classes for star-products | |
| dc.type | text |