Donaldson-Thomas invariants of $[\mathbb C^4/\mathbb Z_r]$
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_ | 1866914234663698432 |
|---|---|
| author | Liu, Xiaolong |
| author_facet | Liu, Xiaolong |
| contents | We compute the zero-dimensional Donaldson-Thomas invariants of the quotient stack $[\mathbb{C}^4/\mathbb{Z}_r]$, confirming a conjecture of Cao-Kool-Monavari. Our main theorem is established through an orbifold analogue of Cao-Zhao-Zhou's degeneration formula combined with the zero-dimensional Donaldson-Thomas invariants for $\mathcal{A}_{r-1}\times\mathbb{C}^2$ and an explicit determination of orientations of Hilbert schemes of points on $[\mathbb{C}^4/\mathbb{Z}_r]$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_21582 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Donaldson-Thomas invariants of $[\mathbb C^4/\mathbb Z_r]$ Liu, Xiaolong Algebraic Geometry High Energy Physics - Theory Mathematical Physics 14N35 (Primary), 14D23 (Secondary) We compute the zero-dimensional Donaldson-Thomas invariants of the quotient stack $[\mathbb{C}^4/\mathbb{Z}_r]$, confirming a conjecture of Cao-Kool-Monavari. Our main theorem is established through an orbifold analogue of Cao-Zhao-Zhou's degeneration formula combined with the zero-dimensional Donaldson-Thomas invariants for $\mathcal{A}_{r-1}\times\mathbb{C}^2$ and an explicit determination of orientations of Hilbert schemes of points on $[\mathbb{C}^4/\mathbb{Z}_r]$. |
| title | Donaldson-Thomas invariants of $[\mathbb C^4/\mathbb Z_r]$ |
| topic | Algebraic Geometry High Energy Physics - Theory Mathematical Physics 14N35 (Primary), 14D23 (Secondary) |
| url | https://arxiv.org/abs/2507.21582 |