Shatz and Bialynicki-Birula stratifications of the moduli space of Higgs bundles

DOI10.14492/hokmj/2019-202zbMath1486.14041OpenAlexW4223430533MaRDI QIDQ2134174

Álvaro Antón Sancho

Publication date: 6 May 2022

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/2019-202

zbMATH Keywords

Shatz stratificationHiggs bundlesBialynicki-Birula stratificationHarder-Narasimhan type

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Vector bundles on curves and their moduli (14H60)

Cites Work

• Higgs bundles and local systems
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Automorphisms of order three of the moduli space of spin-Higgs bundles
• Stratifications on the moduli space of Higgs bundles
• Singular geometry and Higgs bundles in string theory
• Moduli of representations of the fundamental group of a smooth projective variety. II
• Some theorems on actions of algebraic groups
• Stable and unitary vector bundles on a compact Riemann surface
• The Self-Duality Equations on a Riemann Surface
• Relative Hitchin-Kobayashi Correspondences for Principal Pairs
• The Yang-Mills equations over Riemann surfaces
• Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles
• Generators for the cohomology ring of the moduli space of rank 2 Higgs bundles
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