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.
On localization in holomorphic equivariant cohomology / Bruzzo, U.; Rubtsov, V.. - In: CENTRAL EUROPEAN JOURNAL OF MATHEMATICS. - ISSN 1644-3616. - 10:4(2012), pp. 1442-1454. [10.2478/s11533-012-0054-2]
On localization in holomorphic equivariant cohomology
Bruzzo, U.;
2012-01-01
Abstract
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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
bruzzo-rubtsov-rev.pdf
accesso aperto
Tipologia:
Documento in Pre-print
Licenza:
Non specificato
Dimensione
298.43 kB
Formato
Adobe PDF
|
298.43 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
