2 papers
math.AG2025
Holonomy of affine surfaces
Paul Apisa, Matt Bainbridge, Jane Wang
We identify the moduli space of complex affine surfaces with the moduli space of regular meromorphic connections on Riemann surfaces and show that it satisfies a corresponding univ…
math.AG2024
The moduli space of multi-scale differentials
Matt Bainbridge, Dawei Chen, Quentin Gendron +2
We construct a compactification of the moduli spaces of abelian differentials on Riemann surfaces with prescribed zeroes and poles. This compactification, called the moduli space o…