Topological dynamics on moduli spaces II

DOI10.1090/S0002-9947-02-02961-6zbMath1089.53059arXivmath/9910036OpenAlexW2149771048MaRDI QIDQ2781415

Eugene Z. Xia, Joseph P. Previte

Publication date: 19 March 2002

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

Full work available at URL: https://arxiv.org/abs/math/9910036

zbMATH Keywords

topological dynamicsmoduli spacesmapping class groupDehn twistfundamental group of a surface

Mathematics Subject Classification ID

Topological dynamics (37B99) Fundamental group, presentations, free differential calculus (57M05) Symplectic structures of moduli spaces (53D30)

Related Items

Explicit connections with SU(2)-monodromy, Surface group representations in \(\mathrm{SL}_2(\mathbb{C})\) with finite mapping class orbits, Modular orbits on the representation spaces of compact abelian Lie groups, Holonomy of complex projective structures on surfaces with prescribed branch data, Ergodic actions of mapping class groups on moduli spaces of representations of non-orientable surfaces, The degree of the special linear characters of a rank two free group., Six-point configurations in the hyperbolic plane and ergodicity of the mapping class group, Dynamics of the mapping class group on the moduli of a punctured sphere with rational holonomy, Non-abelian local invariant cycles

Cites Work

• The symplectic nature of fundamental groups of surfaces
• Rings of Fricke characters and automorphism groups of free groups
• Bohr-Sommerfeld orbits in the moduli space of flat connections and the Verlinde dimension formula
• Ergodic theory on moduli spaces
• The monodromy groups of Schwarzian equations on closed Riemann surfaces
• Topological dynamics on moduli spaces. I.
• Trigonometric diophantine equations (On vanishing sums of roots of unity)
• The Topology of the Relative Character Varieties of a Quadruply-Punctured Sphere
• On the inverse problem for a hyperbolic dispersive partial differential equation