An open four-manifold having no instanton

2010/04/20 by Masaki Tsukamoto, Tsukamoto, Masaki · 1 citation
Mathematics · #53C07 #Advanced Operator Algebra Research #Advanced Topology and Set Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #math.DG #msc:53C07

paper · pdf · doi:10.48550/arxiv.1004.3394

38 pages

arxiv created 2010/04/20 · openalex publication_date 2010/04/20 · arxiv updated 2010/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Taubes proved that all compact oriented four-manifolds admit non-flat instantons. We show that there exists a non-compact oriented four-manifold having no non-flat instanton.

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