Dissertation/Thesis Abstract

Almost-Kähler Anti-Self-Dual Metrics
by Kim, Inyoung, Ph.D., State University of New York at Stony Brook, 2014, 69; 3632418
Abstract (Summary)

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.

Indexing (document details)
Advisor: LeBrun, Claude
Commitee: Lawson, Blaine, Plamenevskaya, Olga, Rocek, Martin
School: State University of New York at Stony Brook
Department: Mathematics
School Location: United States -- New York
Source: DAI-B 75/12(E), Dissertation Abstracts International
Subjects: Mathematics
Keywords: Anti-self-dual metrics, Scalar-at
Publication Number: 3632418
ISBN: 978-1-321-11747-9
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