Abstract
|
|
We show that when two unit-area quadratic differentials are
–close
with respect to good systems of period coordinates and lie over a compact subset
of the moduli space
of Riemann surfaces
,
then their underlying Riemann surfaces are
–close in the Teichmüller
metric. Here,
depends only
on the genus
and the number
of marked points, while
depends on
.
|
Keywords
Teichmüller, quadratic differential, flat surface
|
Mathematical Subject Classification
Primary: 30F60
|
Publication
Received: 16 April 2021
Revised: 15 April 2023
Accepted: 9 June 2023
Published: 19 August 2024
|
| © 2024 MSP (Mathematical Sciences
Publishers). Distributed under the Creative Commons
Attribution License 4.0 (CC BY). |
Open Access made possible by participating
institutions via Subscribe to Open. 
|
