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Selecta Mathematica

, Volume 17, Issue 2, pp 337–361 | Cite as

Gelfand–Tsetlin algebras and cohomology rings of Laumon spaces

  • Boris Feigin
  • Michael Finkelberg
  • Igor Frenkel
  • Leonid Rybnikov
Article

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 ).

Mathematics Subject Classification (2000)

20C99 

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Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  • Boris Feigin
    • 1
  • Michael Finkelberg
    • 2
  • Igor Frenkel
    • 3
  • Leonid Rybnikov
    • 4
  1. 1.Landau Institute for Theoretical PhysicsMoscowRussia
  2. 2.Department of MathematicsIMU, IITP and State University Higher School of EconomicsMoscowRussia
  3. 3.Department of MathematicsYale UniversityNew HavenUSA
  4. 4.Department of MathematicsInstitute for the Information Transmission Problems and State University Higher School of EconomicsMoscowRussia

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