Ergodic action of mapping class group on Teichmüller space of symplectic structures
Misha Verbitsky

Symplectic Teichmüller space is the space of symplectic structures up to isotopy. It is a smooth, nite-dimensional, possibly non-Hausdor manifold, equipped with an action of the mapping class group. I will give examples when this action is ergodic and explain some geometric consequences of ergodicity.


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