A lower bound for Torelli-K-quasiconformal homogeneity
Geometric Topology
2014-03-26 v3
Abstract
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 F act trivially on H1(M;Z), we say M is Torelli-K-quasiconformally homogeneous. We prove the existence of a uniform lower bound on K for Torelli-K-quasiconformally homogeneous Riemann surfaces. This is a special case of the open problem of the existence of a lower bound on K for (in general non-Torelli) K-quasiconformally homogeneous Riemann surfaces.
Keywords
Cite
@article{arxiv.1309.2666,
title = {A lower bound for Torelli-K-quasiconformal homogeneity},
author = {Mark Greenfield},
journal= {arXiv preprint arXiv:1309.2666},
year = {2014}
}
Comments
13 pages, 2 figures; expanded introduction, added references, fixed minor typos