BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Translation surfaces, higher spin structures, and the mapping class group Calderon, Aaron


Kontsevich and Zorich famously classified the connected components of strata of translation surfaces over moduli space. The corresponding problem over the Teichmà ¼ller space requires the analysis of which mapping classes can be realized as deformations lying inside the stratum. In this talk, I will present joint work with Nick Salter in which we classify the (non-hyperelliptic) connected components of strata over Teichmà ¼ller space. Unlike the case for strata over moduli space, we find that there can be many (but finitely many) connected components, depending on both genus and cone angle.

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