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math.GT2019
Isometric submersions of Teichmüller spaces are forgetful
Dmitri Gekhtman, Mark Greenfield
We study the class of holomorphic and isometric submersions between finite-type Teichmüller spaces. We prove that, with potential exceptions coming from low-genus phenomena, any su…
math.GT2017
Classifying complex geodesics for the Carathéodory metric on low-dimensional Teichmüller spaces
Dmitri Gekhtman, Vladimir Markovic
It was recently shown that the Carathéodory and Teichmüller metrics on the Teichmüller space of a closed surface do not coincide. On the other hand, Kra earlier showed that the met…