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arXiv · 0806.0072

Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces

Boris Feigin·Michael Finkelberg·Igor Frenkel·Leonid Rybnikov
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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 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).

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Boris Feigin, Michael Finkelberg, Igor Frenkel, Leonid Rybnikov. 2008-05-31. Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces. https://arxiv.org/abs/0806.0072

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