Holomorphic Equivariant Cohomology via a Transversal Holomorphic Vector Field
Feng, Huitao
arXiv, 0304200 / Harvested from arXiv
Text on arXiv
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 $\xi$ and the Dolbeault cohomology of $Y$ with coefficients in $\xi|_Y$, where $\xi\to X$ is a holomorphic vector bundle over $X$.
Publié le : 2003-04-15
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  Mathematics - Spectral Theory,  53C,  58J 
@article{0304200,
     author = {Feng, Huitao},
     title = {Holomorphic Equivariant Cohomology via a Transversal Holomorphic Vector
  Field},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0304200}
}

Feng, Huitao. Holomorphic Equivariant Cohomology via a Transversal Holomorphic Vector
  Field. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0304200/