Type
Text
Type
Dissertation
Advisor
Lawson, Blaine | LeBrun, Claude | Plamenevskaya, Olga | Rocek, Martin.
Date
2014-12-01
Keywords
Mathematics
Department
Department of Mathematics.
Language
en_US
Source
This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.
Identifier
http://hdl.handle.net/11401/76399
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
Abstract
We show the existence of strictly almost-Kahler anti-self-dual metrics on certain 4-manifolds by deforming a scalar-flat Kahler metric. On the other hand, we prove the non-existence of such metrics on certain other 4-manifolds by means of Seiberg-Witten theory. In the process, we provide a simple new proof of the fact that any almost-Kahler anti-self-dual 4-manifold must have a non-trivial Seiberg-Witten invariant. | 69 pages
Recommended Citation
Kim, Inyoung, "Almost-Kahler Anti-Self-Dual Metrics" (2014). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 2322.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/2322