\(F_4\) and PSp\((8,\mathbb{C})\)-Higgs pairs understood as fixed points of the moduli space of \(E_6\)-Higgs bundles over a compact Riemann surface

DOI10.1515/math-2022-0543zbMath1504.14018OpenAlexW4313403471MaRDI QIDQ2111869

Álvaro Antón Sancho

Publication date: 17 January 2023

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2022-0543

zbMATH Keywords

stabilityfixed pointsautomorphismHiggs pairsLie group \(\mathrm{E}_6\)

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60)

Related Items (1)

Fixed points of automorphisms of the vector bundle moduli space over a compact Riemann surface

Cites Work

• Unnamed Item
• Realizations of involutive automorphisms \(\sigma\) and \(G^{\sigma}\) of exceptional linear Lie groups G. I: \(G=G_ 2\), \(F_ 4\) and \(E_ 6\)
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Automorphisms of order three of the moduli space of spin-Higgs bundles
• Singular geometry and Higgs bundles in string theory
• Homogeneous spaces defined by Lie group automorphisms. I
• AUTOMORPHISMS OF MODULI SPACES OF SYMPLECTIC BUNDLES
• Principal spin-bundles and triality
• Classification of the automorphism and isometry groups of Higgs bundle moduli spaces
• The maximal subgroups of positive dimension in exceptional algebraic groups
• Symplectic Groups Over Local Rings
• Lie groups beyond an introduction
• Automorphisms of moduli spaces of vector bundles over a curve

This page was built for publication: \(F_4\) and PSp\((8,\mathbb{C})\)-Higgs pairs understood as fixed points of the moduli space of \(E_6\)-Higgs bundles over a compact Riemann surface