A compactification of the moduli space of principal Higgs bundles over singular curves

DOI10.1016/J.GEOMPHYS.2016.08.007zbMath1360.14092arXiv1110.0632OpenAlexW2962706661MaRDI QIDQ335841

Alessio Lo Giudice, Andrea Pustetto

Publication date: 2 November 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0632

zbMATH Keywords

moduli spacedecorated vector bundlesprincipal Higgs bundlessingular curves

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Relationships between algebraic curves and integrable systems (14H70) Vector bundles on curves and their moduli (14H60) Fine and coarse moduli spaces (14D22)

Related Items (5)

Stable parabolic Higgs bundles as asymptotically stable decorated swamps ⋮ Generalized parabolic structures over smooth curves with many components and principal bundles over reducible nodal curves ⋮ Stability of quadric bundles ⋮ Singular geometry and Higgs bundles in string theory ⋮ Deformation of Locally Free Sheaves and Hitchin Pairs over Nodal Curve

Cites Work

• Semistable and numerically effective principal (Higgs) bundles
• Geometric invariant theory and decorated principal bundles
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Generalized parabolic bundles and applications. II
• Singular principal \(G\)-bundles on nodal curves
• Generalised parabolic bundles and applications to torsionfree sheaves on nodal curves
• Moduli Space of Semistable Pairs on a Curve
• The Self-Duality Equations on a Riemann Surface

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