Relative Quasimaps and Tilting Module of $U(\mathfrak{gl}_n)$
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912571646279680 |
|---|---|
| author | Shen, Che |
| author_facet | Shen, Che |
| contents | 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 $U(\mathfrak{gl}_n)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04690 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relative Quasimaps and Tilting Module of $U(\mathfrak{gl}_n)$ Shen, Che Algebraic Geometry Representation Theory 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 $U(\mathfrak{gl}_n)$. |
| title | Relative Quasimaps and Tilting Module of $U(\mathfrak{gl}_n)$ |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2509.04690 |