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Spectral Data for SU(1,2) Higgs Bundles

2021/11/01 by Xuesen Na, Na, Xuesen
Mathematics · Physics and Astronomy · #14D20 #14D21 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2111.00733

openalex publication_date 2021/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we give an explicit description of the Hitchin fiber of SU(1,2) Higgs bundles (L,F,γ,β) over a compact Riemann surface X of genus ≥ 2 with q=γ∘β having simple zeros and Toledo invariant τ=2 \rmdeg L satisfying |\rmdeg L|

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