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- W2745831504 abstract "We consider dimensional Teichmuller discs, by which we mean complex submanifolds of Teichmuller space that contain the Teichmuller joining any two of its points. We prove results in the higher dimensional setting that are opposite to the one dimensional behavior: every dimensional Teichmuller disc covers a dimensional Teichmuller curve and there are only finitely many dimensional Teichmuller curves in each moduli space. The proofs use recent results in Teichmuller dynamics, especially joint work with Eskin and Filip on the Kontsevich-Zorich cocycle. Joint work with McMullen and Mukamel as well as Eskin, McMullen and Mukamel shows that exotic examples of dimensional Teichmuller discs do exist." @default.
- W2745831504 created "2017-08-31" @default.
- W2745831504 creator A5047755737 @default.
- W2745831504 date "2017-01-01" @default.
- W2745831504 modified "2023-09-27" @default.
- W2745831504 title "Totally geodesic submanifolds of Teichmüller space and moduli space" @default.
- W2745831504 hasPublicationYear "2017" @default.
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