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arXiv · 2207.14448

Notes on of Seiberg-Witten map on manifold with flat scalar curvature

Dexie Lin
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Abstract

In this paper, we focus on the moduli space of Seiberg-Witten equation on non-compact manifold with periodic end. Suppose that the scalar curvature on the periodic end is identically zero and the topological conditions: the first de-Rham cohomology and the self-dual cohomology restricting on the periodic end vanish. Then, we will show that the moduli space of the perturbed Seiberg-Witten equation is compact.

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Dexie Lin. 2022-07-29. Notes on of Seiberg-Witten map on manifold with flat scalar curvature. https://arxiv.org/abs/2207.14448

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