Examples of non-flat bundles of rank one

2022/04/17 by Ananyo Dan, Dan, Ananyo, Agustín Romano-Velázquez +1
Mathematics · #13C14 #14B05 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2204.08080

openalex publication_date 2022/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we give several examples of line bundles on certain non-compact surfaces that cannot be equipped with a flat connection.

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