The complex structure of the Teichmüller space of circle diffeomorphisms in the Zygmund smooth class
arXiv:2311.15521 · doi:10.1016/j.jmaa.2024.128593
Abstract
We provide the complex Banach manifold structure for the Teichmüller space of circle diffeomorphisms whose derivatives are in the Zygmund class. This is done by showing that the Schwarzian derivative map is a holomorphic split submersion.
A part of the previous version of this submission is separated into Part II of the same title