On localization in holomorphic equivariant cohomology
Complex Variables
2013-05-29 v4 Algebraic Geometry
Differential Geometry
Abstract
We prove a localization formula for a "holomorphic equivariant cohomology" attached to the Atiyah algebroid of an equivariant holomorphic vector bundle. This generalizes Feng-Ma, Carrell-Liebermann, Baum-Bott and K. Liu's localization formulas.
Cite
@article{arxiv.0910.2019,
title = {On localization in holomorphic equivariant cohomology},
author = {Ugo Bruzzo and Vladimir Rubtsov},
journal= {arXiv preprint arXiv:0910.2019},
year = {2013}
}
Comments
16 pages. Completely rewritten, new title. v3: Minor changes in the exposition. v4: final version to appear in Centr. Eur. J. Math