A weighted version of quantization commutes with reduction for a toric manifold
| dc.creator | Agapito, José | |
| dc.date | 2003-07-24 | |
| dc.date | 2005-03-16 | |
| dc.date.accessioned | 2026-07-07T04:59:52Z | |
| dc.date.available | 2026-07-07T04:59:52Z | |
| dc.description | We compute explicitly the equivariant Hirzebruch $χ_y$-characteristic of an equivariant complex line bundle over a toric manifold and state a weighted version of the quantization commutes with reduction principle in symplectic geometry. Then, we give a weighted decomposition formula for any simple polytope in $\R^n$. This formula generalizes a polytope decomposition due to Lawrence [10] and Varchenko [14] and extends a previous weighted version obtained by Karshon, Sternberg and Weitsman [9]. | |
| dc.description | 14 pages, 2 figures. Followed suggestions by referee and restructured all sections. Accepted for publication | |
| dc.identifier | https://arxiv.org/abs/math/0307318 | |
| dc.identifier | http://arxiv.org/abs/math/0307318 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68160 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Combinatorics | |
| dc.subject | 65B15 (Primary); 52B20, 53D20 (Secondary) | |
| dc.title | A weighted version of quantization commutes with reduction for a toric manifold | |
| dc.type | text |