Degenerate Chern-Weil Theory and Equivariant Cohomology
| dc.creator | Cao, Huai-Dong | |
| dc.creator | Zhou, Jian | |
| dc.date | 1998-04-29 | |
| dc.date | 1998-08-24 | |
| dc.date.accessioned | 2026-07-07T05:24:38Z | |
| dc.date.available | 2026-07-07T05:24:38Z | |
| dc.description | We develop a Chern-Weil theory for compact Lie group action whose generic stabilizers are finite in the framework of equivariant cohomology. This provides a method of changing an equivariant closed form within its cohomological class to a form more suitable to yield localization results. This work is motivated by our work on reproving wall crossing formulas in Seiberg-Witten theory, where the Lie group is the circle. As applications, we derive two localization formulas of Kalkman type for G = SU(2) or SO(3)-actions on compact manifolds with boundary. One of the formulas is then used to yield a very simple proof of a localization formula due to Jeffrey-Kirwan in the case of G = SU(2) or SO(3). | |
| dc.description | 23 pages, AMSLaTex | |
| dc.identifier | https://arxiv.org/abs/math/9804135 | |
| dc.identifier | http://arxiv.org/abs/math/9804135 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76874 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 55N91, 57R20, 57S15, 58F05 | |
| dc.title | Degenerate Chern-Weil Theory and Equivariant Cohomology | |
| dc.type | text |