most citedA new modular characterization of the hyperbolic plane

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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★ 2 cited

A new modular characterization of the hyperbolic plane

Mark Greenfield, Lizhen Ji

We develop a natural and geometric way to realize the hyperbolic plane as the moduli space of marked genus 1 Riemann surfaces. To do so, a metric is defined on the Teichmüller spac…