INFINITESIMAL DEFORMATIONS OF HITCHIN PAIRS AND HITCHIN MAP

DOI10.1142/S0129167X1250053XzbMath1263.17016arXiv1003.5531OpenAlexW2039689556MaRDI QIDQ2909460

Elena Martinengo

Publication date: 30 August 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.5531

zbMATH Keywords

obstructions\(L_\infty\) algebrasdifferential graded Lie algebrasHitchin pairsdglagoverninghyper cohomology

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Algebraic moduli problems, moduli of vector bundles (14D20) Formal methods and deformations in algebraic geometry (14D15)

Related Items (3)

Cohomology jump loci of differential graded Lie algebras ⋮ Geometry of the logarithmic Hodge moduli space ⋮ Homotopy abelianity of the DG-Lie algebra controlling deformations of pairs (variety with trivial canonical bundle, line bundle)

Cites Work

• \(L_\infty \) structures on mapping cones
• Higgs bundles and local systems
• Moduli of stable pairs
• Cohomological constraint on deformations of compact Kähler manifolds
• Deformations of Algebraic Schemes
• PROJECTIVE MODULI FOR HITCHIN PAIRS
• The deformation theory of representations of fundamental groups of compact Kähler manifolds

This page was built for publication: INFINITESIMAL DEFORMATIONS OF HITCHIN PAIRS AND HITCHIN MAP