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Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety

100%

Tarasov V., Varchenko A.

Open Mathematics

2014

tom 12

nr 5

694-710

We describe hypergeometric solutions of the quantum differential equation of the cotangent bundle of a $$\mathfrak{g}\mathfrak{l}_n$$ partial flag variety. These hypergeometric solutions manifest the Landau-Ginzburg mirror symmetry for the cotangent bundle of a partial flag variety.

On localization in holomorphic equivariant cohomology

68%

Bruzzo U., Rubtsov V.

Open Mathematics

2012

tom 10

nr 4

1442-1454

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.

Ograniczanie wyników

2 Open Mathematics

1 Bruzzo U.

1 Rubtsov V.

1 Tarasov V.

1 Varchenko A.

1 2014

1 2012

Wyniki wyszukiwania

Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety

On localization in holomorphic equivariant cohomology