Riemann moduli spaces are quantum ergodic

Ergodic Theory on Moduli Spaces

Let M be a compact surface with (M) < 0 and let G be a compact Lie group whose Levi factor is a product of groups locally isomorphic to SU(2) (for example SU(2)). Then the map

Horocyclic Coordinates for Riemann Surfaces and Moduli Spaces. I: Teichmuller and Riemann Spaces of Kleinian Groups

O. Introduction and statement of main results 1. Horocyclic coordinates 2. The zw = t plumbing construction 3. The plumbing construction for an admissible graph 4. Deformation (TeichmiiUer) and moduli (Riemann) spaces 5. Torsion free terminal b-groups 6. One-dimensional deformation spaces 7. Deformation spaces for torsion free terminal b-groups 8. One-dimensional moduli spaces 9. Moduli spaces ...

Horocyclic Coordinates for Riemann Surfaces and Moduli Spaces. I: Teichmuller and Riemann Spaces of Kleinian Groups

O. Introduction and statement of main results 1. Horocyclic coordinates 2. The zw = t plumbing construction 3. The plumbing construction for an admissible graph 4. Deformation (TeichmiiUer) and moduli (Riemann) spaces 5. Torsion free terminal b-groups 6. One-dimensional deformation spaces 7. Deformation spaces for torsion free terminal b-groups 8. One-dimensional moduli spaces 9. Moduli spaces ...

Recent Results on the Moduli Spaces of Riemann Surfaces

Automorphisms of C∗ Moduli Spaces Associated to a Riemann Surface

We compute the automorphism groups of the Dolbeault, de Rham and Betti moduli spaces for the multiplicative group C∗ associated to a compact connected Riemann surface.