Dehn twists and invariant classes

DOI10.1090/S0002-9939-2011-11279-6zbMath1248.32009arXiv0901.2692MaRDI QIDQ5389379

Eugene Z. Xia

Publication date: 26 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.2692

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Compact Kähler manifolds: generalizations, classification (32J27)

Cites Work

• Ergodicity of mapping class group actions on representation varieties. I: Closed surfaces
• Families of Riemann surfaces over the punctured disk
• Invariant functions on Lie groups and Hamiltonian flows of surface group representations
• Topological components of spaces of representations
• Limits of Hodge structures
• Degeneration of Kähler manifolds
• Ergodic theory on moduli spaces
• Variation of Hodge structure: The singularities of the period mapping
• Stable principal bundles on a compact Riemann surface
• Rigidity in the Invariant Theory of Compact Lie Groups
• Non-abelian local invariant cycles
• Varieties of representations of finitely generated groups
• Geometric Invariant Theory
• Fixed points of the mapping class group in the $SU(n)$ moduli spaces
• Mixed Hodge Structures

This page was built for publication: Dehn twists and invariant classes