On localization in holomorphic equivariant cohomology

• Autorzy: Ugo Bruzzo , Vladimir Rubtsov
• Języki publikacji: EN

Abstrakty

EN

We study a holomorphic equivariant cohomology built out of the Atiyah algebroid of an equivariant holomorphic vector bundle and prove a related localization formula. This encompasses various residue formulas in complex geometry, in particular we shall show that it contains as special cases Carrell-Liebermann’s and Feng-Ma’s residue formulas, and Baum-Bott’s formula for the zeroes of a meromorphic vector field.

Słowa kluczowe

EN

Holomorphic equivariant cohomology; Atiyah algebroid; Vector bundle; Residue formula; Meromorphic vector field

Kategorie tematyczne

• 53C12: Foliations (differential geometric aspects)
• 32L10: Sheaves and cohomology of sections of holomorphic vector bundles, general results
• 53D17: Poisson manifolds; Poisson groupoids and algebroids
• 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
• 55N25: Homology with local coefficients, equivariant cohomology
• 55N91: Equivariant homology and cohomology

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 4
• Strony: 1442-1454

Daty

wydano

2012-08-01

online

2012-05-31

Twórcy

autor

Ugo Bruzzo

autor

Vladimir Rubtsov

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0054-2