On localization in holomorphic equivariant cohomology

Details On localization in holomorphic equivariant cohomology On localization in holomorphic equivariant cohomology

2009-10-11

arxiv.org/abs/0910.2019v4

Mathematics

Complex Variables

16 pages. Completely rewritten, new title. v3: Minor changes in the exposition. v4: final version to appear in Centr. Eur. J.

Scientific paper

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.

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