Additivity of Spin^c Quantization under Cutting
| dc.creator | Fuchs, Shay | |
| dc.date | 2007-08-08 | |
| dc.date.accessioned | 2026-07-07T08:22:46Z | |
| dc.date.available | 2026-07-07T08:22:46Z | |
| dc.description | A G-equivariant spin^c structure on a manifold gives rise to a virtual representation of the group G, called the spin^c quantization of the manifold. We present a cutting construction for S^1-equivariant spin^c manifolds, and show that the quantization of the original manifold is isomorphic to the direct sum of the quantizations of the cut spaces. Our proof uses Kostant-type formulas, which express the quantization in terms of local data around the fixed point set of the S^1-action. | |
| dc.description | 34 pages | |
| dc.identifier | https://arxiv.org/abs/0708.1106 | |
| dc.identifier | http://arxiv.org/abs/0708.1106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135765 | |
| dc.subject | Differential Geometry | |
| dc.title | Additivity of Spin^c Quantization under Cutting | |
| dc.type | text |