Journal
INVENTIONES MATHEMATICAE
Volume 178, Issue 2, Pages 299-331Publisher
SPRINGER
DOI: 10.1007/s00222-009-0198-2
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This paper contains a proof of a conjecture of Braverman concerning Laumon quasiflag spaces. We consider the generating function Z(m), whose coefficients are the integrals of the equivariant Chern polynomial (with variable m) of the tangent bundles of the Laumon spaces. We prove Braverman's conjecture, which states that Z(m) coincides with the eigenfunction of the Calogero-Sutherland hamiltonian, up to a simple factor which we specify. This conjecture was inspired by the work of Nekrasov in the affine (sl(n)) over cap sln setting, where a similar conjecture is still open.
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