A Categorical sl_2 Action on Some Moduli Spaces of Sheaves
| dc.contributor.advisor | Addington, Nicolas | |
| dc.contributor.author | Takahashi, Ryan | |
| dc.date.accessioned | 2020-09-24T17:19:46Z | |
| dc.date.available | 2020-09-24T17:19:46Z | |
| dc.date.issued | 2020-09-24 | |
| dc.description.abstract | We study a certain sequence of moduli spaces of stable sheaves on a K3 surface of Picard rank 1 over $\mathbb{C}$. We prove that this sequence can be given the structure of a geometric categorical $\mathfrak{sl}_2$ action, a global version of an action studied by Cautis, Kamnitzer, and Licata. As a corollary, we find that the moduli spaces in this sequence which are birational are also derived equivalent. | en_US |
| dc.identifier.uri | https://hdl.handle.net/1794/25661 | |
| dc.language.iso | en_US | |
| dc.publisher | University of Oregon | |
| dc.rights | All Rights Reserved. | |
| dc.title | A Categorical sl_2 Action on Some Moduli Spaces of Sheaves | |
| dc.type | Electronic Thesis or Dissertation | |
| thesis.degree.discipline | Department of Mathematics | |
| thesis.degree.grantor | University of Oregon | |
| thesis.degree.level | doctoral | |
| thesis.degree.name | Ph.D. |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- Takahashi_oregon_0171A_12790.pdf
- Size:
- 451.57 KB
- Format:
- Adobe Portable Document Format