Almost-Kahler Anti-Self-Dual Metrics

Inyoung Kim

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arXiv · 1511.07656

Almost-Kahler Anti-Self-Dual Metrics

Inyoung Kim

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Abstract

We show the existence of strictly almost-Kahler anti-self-dual metrics on certain 4-manifolds by deforming scalar-flat Kahler metrics. 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.

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Inyoung Kim. 2015-11-24. Almost-Kahler Anti-Self-Dual Metrics. https://arxiv.org/abs/1511.07656

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