A Riemann-Roch-Hirzebruch formula for traces of differential operators
| dc.creator | Engeli, Markus | |
| dc.creator | Felder, Giovanni | |
| dc.date | 2007-02-15 | |
| dc.date | 2008-02-12 | |
| dc.date.accessioned | 2026-07-07T09:20:00Z | |
| dc.date.available | 2026-07-07T09:20:00Z | |
| dc.description | Let D be a holomorphic differential operator acting on sections of a holomorphic vector bundle on an n-dimensional compact complex manifold. We prove a formula, conjectured by Feigin and Shoikhet, for the Lefschetz number of D as the integral over the manifold of a differential form. The class of this differential form is obtained via formal differential geometry from the canonical generator of the Hochschild cohomology of the algebra of differential operators in a formal neighbourhood of a point. If D is the identity, the formula reduces to the Riemann--Roch--Hirzebruch formula. | |
| dc.description | 31 pages, 1 figure. Misprints corrected and appendix with analytical details added in v3 | |
| dc.identifier | https://arxiv.org/abs/math/0702461 | |
| dc.identifier | http://arxiv.org/abs/math/0702461 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154599 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.title | A Riemann-Roch-Hirzebruch formula for traces of differential operators | |
| dc.type | text |