Moduli spaces of bundles over Riemann surfaces and the Yang-Mills stratification revisited

2003/05/24 by Frances Kirwan, Kirwan, Frances
Mathematics · #14D20 #14H60 #32G13 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #math.AG #msc:14D20 #msc:14H60 #msc:32G13

paper · pdf · doi:10.48550/arxiv.math/0305346

Submitted to the Proceedings of the Clay Mathematics Institute meeting on Geometry and String Theory, Cambridge 2002; 45 pages

arxiv created 2003/05/24 · openalex publication_date 2003/05/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Refinements of the Yang-Mills stratifications of spaces of connections over a compact Riemann surface are investigated. The motivation for this study was the search for a complete set of relations between the standard generators for the cohomology of the moduli spaces of stable holomorphic bundles of rank n and degree d when n and d are coprime and n>2.

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