Relating Holomorphic Bundles on $\\Sigma_2$ to Equivariant Instantons on $\\mathcal{O}_{\\mathbb{P}^1}(-1)$
Public Deposited- Last Modified
- March 21, 2019
- Creator
-
Miller, Sam
- Affiliation: College of Arts and Sciences, Department of Mathematics
- Abstract
- In this paper, we show an isomorphism between the moduli space of holomorphic bundles on the second Hirzebruch surface, $\\Sigma_2$ with the moduli space of equivariant instantons (with asymptotically trivial equivariant structure) on the total space of $\\mathcal{O}_{\\mathbb{P}^1}(-1)$. This work comes as an extension of the work of King as uses twistor theory to relate many of our objects to holomorphic bundles. Using monads of these bundles, we build conditions that they be equivariant with appropriate triviality conditions.
- Date of publication
- December 2017
- Keyword
- DOI
- Resource type
- Rights statement
- In Copyright
- Advisor
- Kumar, Shrawan
- Belkale, Prakash
- Rimanyi, Richard
- Sawon, Justin
- Rozansky, Lev
- Degree
- Doctor of Philosophy
- Degree granting institution
- University of North Carolina at Chapel Hill
- Graduation year
- 2017
- Language
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This work has no parents.
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