Research reveals connections between equivariant cohomology in moduli spaces and tilting modules of U(gl_n), indicating deeper algebraic structures.
We study the equivariant cohomology of the moduli space of quasimaps from P¹ with one marked point to the flag variety. This moduli space has an open subset isomorphic to the Laumon space. The equivariant cohomology of the Laumon space carries a natural action of U(glₙ) constructed via geometric correspondences. We extend this construction to the entire quasimap moduli space and relate it to tilting modules of U(glₙ).
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Che Shen (2025) studied this question.
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