The Beauville-Narasimhan-Ramanan correspondence for twisted Higgs V-bundles and components of parabolic Sp(2n,ℝ)-Higgs moduli Spaces

2019/01/26 by Georgios Kydonakis, Hao Sun, Kydonakis, Georgios +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1901.09148

openalex publication_date 2019/01/26 · openalex created_date 2019/02/21 · openalex updated_date 2026/07/28

Abstract

We generalize the classical Beauville-Narasimhan-Ramanan correspondence to the case of parabolic Higgs bundles with regular singularities and Higgs V-bundles. Using this correspondence along with Bott-Morse theoretic techniques we provide an exact component count for moduli spaces of maximal parabolic Sp( 2n,ℝ )-Higgs bundles with fixed parabolic structure.

Citations

• The Self-Duality Equations on a Riemann Surface

Cited by

• Poisson Structures on Moduli Spaces of Higgs Bundles over Stacky Curves

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