Symplectic fibrations and Riemann-Roch numbers of reduced spaces
| dc.creator | Hamilton, Mark | |
| dc.creator | Jeffrey, Lisa | |
| dc.date | 2004-03-01 | |
| dc.date | 2005-01-04 | |
| dc.date.accessioned | 2026-07-07T05:05:48Z | |
| dc.date.available | 2026-07-07T05:05:48Z | |
| dc.description | In this article we give formulas for the Riemann-Roch number of a symplectic quotient arising as the reduced space corresponding to a coadjoint orbit (for an orbit close to 0) as an evaluation of cohomology classes over the reduced space at 0. This formula exhibits the dependence of the Riemann-Roch number on the Lie algebra variable which specifies the orbit. We also express the formula as a sum over the components of the fixed point set of the maximal torus. Our proof applies to Hamiltonian G-manifolds even if they do not have a compatible Kahler structure, using the definition of quantisation in terms of the Spin-C Dirac operator. | |
| dc.description | 11 pages; part of the Ph.D. thesis of the first author. Section 2 revised (Section 2.1, also Theorem 2.4 and new Proposition 2.5) | |
| dc.identifier | https://arxiv.org/abs/math/0403004 | |
| dc.identifier | http://arxiv.org/abs/math/0403004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70304 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 58F05 | |
| dc.title | Symplectic fibrations and Riemann-Roch numbers of reduced spaces | |
| dc.type | text |