L² harmonic forms and the Seiberg-Witten map on non compact four\n manifolds

2018/07/17 by Tsuyoshi Kato, Kato, Tsuyoshi
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1807.06741

openalex publication_date 2018/07/17 · openalex created_date 2022/08/04 · openalex updated_date 2026/07/28

Abstract

We explain a new phenomenon on non compact complete Riemannian four\nmanifolds, where d⁺ image of one forms can not exhaust densely on L² self\ndual forms on each compact subset, if a certain L² self dual harmonic form\nexists. This leads to construct a new functional analytic framework on the\nSeiberg-Witten map.\n

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