Automorphisms of the Quantum Cohomology of the Springer Resolution and Applications
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911790601863168 |
|---|---|
| author | Li, Changzheng Su, Changjian Xiong, Rui |
| author_facet | Li, Changzheng Su, Changjian Xiong, Rui |
| contents | In this paper, we introduce quantum Demazure--Lusztig operators acting by ring automorphisms on the equivariant quantum cohomology of the Springer resolution. Our main application is a presentation of the torus-equivariant quantum cohomology in terms of generators and relations. We provide explicit descriptions for the classical types. We also recover Kim's earlier results for the complete flag varieties by taking the Toda limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_07173 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Automorphisms of the Quantum Cohomology of the Springer Resolution and Applications Li, Changzheng Su, Changjian Xiong, Rui Algebraic Geometry Representation Theory In this paper, we introduce quantum Demazure--Lusztig operators acting by ring automorphisms on the equivariant quantum cohomology of the Springer resolution. Our main application is a presentation of the torus-equivariant quantum cohomology in terms of generators and relations. We provide explicit descriptions for the classical types. We also recover Kim's earlier results for the complete flag varieties by taking the Toda limit. |
| title | Automorphisms of the Quantum Cohomology of the Springer Resolution and Applications |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2304.07173 |