Comparison moduli spaces of Riemann surfaces
Complex Variables
2017-07-31 v2
Abstract
We define a kind of moduli space of nested surfaces and mappings, which we call a comparison moduli space. We review examples of such spaces in geometric function theory and modern Teichmueller theory, and illustrate how a wide range of phenomena in complex analysis are captured by this notion of moduli space. The paper includes a list of open problems in classical and modern function theory and Teichmueller theory ranging from general theoretical questions to specific technical problems.
Cite
@article{arxiv.1706.09168,
title = {Comparison moduli spaces of Riemann surfaces},
author = {Eric Schippers and Wolfgang Staubach},
journal= {arXiv preprint arXiv:1706.09168},
year = {2017}
}
Comments
34 pages