2000/09/05 by Steven B. Bradlow, Bradlow, Steven B., Tomás L. Gómez +2
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #advanced mathematical theories #math.AG #math.DG
paper · pdf · doi:10.48550/arxiv.math/0009044
34 pages, 2 tables
arxiv created 2000/09/05 · openalex publication_date 2000/09/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove a Hitchin-Kobayashi correspondence for extensions of Higgs bundles. The results generalize known results for extensions of holomorphic bundles. Using Simpson's methods, we construct moduli spaces of stable objects. In an appendix we construct Bott-Chern forms for Higgs bundles