2 citations · 4 across the 2 of their papers we have counts for
3 papers
math.DG2019★ 2 cited
Metrics and compactifications of Teichmüller spaces of flat tori
Mark Greenfield, Lizhen Ji
Using the identification of the symmetric space with the Teichmüller space of flat -tori of unit volume, we explore several metrics an…
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…