Holomorphic Equivariant Cohomology via a Transversal Holomorphic Vector Field
| dc.creator | Feng, Huitao | |
| dc.date | 2003-04-15 | |
| dc.date | 2003-04-16 | |
| dc.date.accessioned | 2026-07-07T04:56:54Z | |
| dc.date.available | 2026-07-07T04:56:54Z | |
| dc.description | In this paper an analytic proof of a generalization of a theorem of Bismut ([Bis1, Theorem 5.1]) is given, which says that, when $v$ is a transversal holomorphic vector field on a compact complex manifold $X$ with a zero point set $Y$, the embedding $j:Y\to X$ induces a natural isomorphism between the holomorphic equivariant cohomology of $X$ via $v$ with coefficients in $ξ$ and the Dolbeault cohomology of $Y$ with coefficients in $ξ|_Y$, where $ξ\to X$ is a holomorphic vector bundle over $X$. | |
| dc.description | 18 pages. has been accepted by International Journal of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0304200 | |
| dc.identifier | http://arxiv.org/abs/math/0304200 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67088 | |
| dc.subject | Differential Geometry | |
| dc.subject | Mathematical Physics | |
| dc.subject | Spectral Theory | |
| dc.subject | 53C; 58J | |
| dc.title | Holomorphic Equivariant Cohomology via a Transversal Holomorphic Vector Field | |
| dc.type | text |