Holomorphic quadratic differentials in Teichm\"uller theory
Geometric Topology
2019-02-19 v1 Complex Variables
Abstract
This expository survey describes how holomorphic quadratic differentials arise in several aspects of Teichm\"uller theory, highlighting their relation with various geometric structures on surfaces. The final section summarizes results for non-compact surfaces of finite type, when the quadratic differential has poles of finite order at the punctures.
Cite
@article{arxiv.1902.06406,
title = {Holomorphic quadratic differentials in Teichm\"uller theory},
author = {Subhojoy Gupta},
journal= {arXiv preprint arXiv:1902.06406},
year = {2019}
}
Comments
33 pages, 6 figures, to appear in the Handbook of Teichm\"uller Theory Vol VII