Quantum Cohomology of a Fano Quiver Moduli Space
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912163375874048 |
|---|---|
| author | Meng, Junyu |
| author_facet | Meng, Junyu |
| contents | We consider a prime Fano 6-fold $Y$ of index 3, which is a fine quiver moduli space and a blow down of $\mathrm{Hilb}^3(\mathds{P}^2)$. We calculate the quantum cohomology ring of $Y$ and obtain Quantum Chevalley formulas for the Schubert type subvarieties. The famous Dubrovin's Conjecture relating the quantum cohomology and the derived category is verified for $Y$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15987 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Cohomology of a Fano Quiver Moduli Space Meng, Junyu Algebraic Geometry We consider a prime Fano 6-fold $Y$ of index 3, which is a fine quiver moduli space and a blow down of $\mathrm{Hilb}^3(\mathds{P}^2)$. We calculate the quantum cohomology ring of $Y$ and obtain Quantum Chevalley formulas for the Schubert type subvarieties. The famous Dubrovin's Conjecture relating the quantum cohomology and the derived category is verified for $Y$. |
| title | Quantum Cohomology of a Fano Quiver Moduli Space |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2412.15987 |