Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces

Boris Feigin; Michael Finkelberg; Igor Frenkel; Leonid Rybnikov

doi:10.1007/s00029-010-0045-8

Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces

Boris Feigin, Michael Finkelberg^*, Igor Frenkel, Leonid Rybnikov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

Laumon moduli spaces are certain smooth closures of the moduli spaces of maps from the projective line to the flag variety of GL_n. We calculate the equivariant cohomology rings of the Laumon moduli spaces in terms of Gelfand-Tsetlin subalgebra of U(gl_n) and formulate a conjectural answer for the small quantum cohomology rings in terms of certain commutative shift of argument subalgebras of U(gl_n).

Original language	English
Pages (from-to)	337-361
Number of pages	25
Journal	Selecta Mathematica, New Series
Volume	17
Issue number	2
DOIs	https://doi.org/10.1007/s00029-010-0045-8
State	Published - Jun 2011
Externally published	Yes

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abstract = "Laumon moduli spaces are certain smooth closures of the moduli spaces of maps from the projective line to the flag variety of GLn. We calculate the equivariant cohomology rings of the Laumon moduli spaces in terms of Gelfand-Tsetlin subalgebra of U(gln) and formulate a conjectural answer for the small quantum cohomology rings in terms of certain commutative shift of argument subalgebras of U(gln).",

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AU - Frenkel, Igor

AU - Rybnikov, Leonid

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AB - Laumon moduli spaces are certain smooth closures of the moduli spaces of maps from the projective line to the flag variety of GLn. We calculate the equivariant cohomology rings of the Laumon moduli spaces in terms of Gelfand-Tsetlin subalgebra of U(gln) and formulate a conjectural answer for the small quantum cohomology rings in terms of certain commutative shift of argument subalgebras of U(gln).

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Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces

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