On localization in holomorphic equivariant cohomology
classification
🧮 math.CV
math.AGmath.DG
keywords
equivariantholomorphiclocalizationcohomologyalgebroidatiyahattachedbaum-bott
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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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