3 citations · 9 across the 5 of their papers we have counts for
6 papers
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…
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…
Topology and experimental distinguishability
Christine A. Aidala, Gabriele Carcassi, Mark J. Greenfield
In this work we introduce the idea that the primary application of topology in experimental sciences is to keep track of what can be distinguished through experimentation. This lin…
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…
A lower bound for Torelli-K-quasiconformal homogeneity
Mark Greenfield
A closed hyperbolic Riemann surface M is said to be K-quasiconformally homogeneous if there exists a transitive family F of K-quasiconformal homeomorphisms. Further, if all [f] in…
Type III sigma-spectral triples and quantum statistical mechanical systems
Mark Greenfield, Matilde Marcolli, Kevin Teh
Spectral triples and quantum statistical mechanical systems are two important constructions in noncommutative geometry. In particular, both lead to interesting reconstruction theor…