On localization in holomorphic equivariant cohomology

Ugo Bruzzo (1) , Vladimir Rubtsov (2)

1 SISSA / ISAS - Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies
2 LAREMA - Laboratoire Angevin de Recherche en Mathématiques

We prove a localization formula for a "holomorphic equivariant cohomology" attached to the Atiyah algebroid of an equivariant holomorphic vector bundle. This generalizes Carrell-Liebermann, Baum-Bott and K. Liu's localization formulas.

Domaines: Variables complexes [math.CV]; Géométrie algébrique [math.AG]; Géométrie différentielle [math.DG]

Ugo Bruzzo, Vladimir Rubtsov. On localization in holomorphic equivariant cohomology. 2011. ⟨hal-00619674⟩