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.identifier.uri |
https://scholarsbank.uoregon.edu/xmlui/handle/1794/25661 |
|
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.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.name |
Ph.D. |
|
thesis.degree.level |
doctoral |
|
thesis.degree.discipline |
Department of Mathematics |
|
thesis.degree.grantor |
University of Oregon |
|