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arXiv · 2509.04690

Relative Quasimaps and Tilting Module of $U(\mathfrak{gl}_n)$

Che Shen
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Abstract

We study the equivariant cohomology of the moduli space of quasimaps from $\mathbb{P}^1$ 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 $U(\mathfrak{gl}_n)$ constructed via geometric correspondences. We extend this construction to the entire quasimap moduli space and relate it to tilting modules of $U(\mathfrak{gl}_n)$.

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Che Shen. 2025-09-04. Relative Quasimaps and Tilting Module of $U(\mathfrak{gl}_n)$. https://arxiv.org/abs/2509.04690

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