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Yang-Mills measure on compact surfaces

2003/01/01 by Thierry Lévy · 2 citations
Mathematics · #Geometric Analysis and Curvature Flows #Advanced Harmonic Analysis Research #Advanced Operator Algebra Research

paper · pdf · doi:10.1090/memo/0790

openalex publication_date 2003/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/21

Abstract

We construct and study the Yang-Mills measure in two dimensions. According to the informal description given by the physicists, it is a probability measure on the space of connections modulo gauge transformations on a principal bundle with compact structure group. We are interested in the case where the base space of this bundle is a compact orientable surface.

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