Compactifications of strata of differentials
Geometric Topology
2025-06-11 v3 Algebraic Geometry
Dynamical Systems
Abstract
In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1-forms on Riemann surfaces, i.e. spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems. We discuss relations between their definitions and properties, focusing on the different notions of convergence from a flat geometric perspective.
Cite
@article{arxiv.2401.04844,
title = {Compactifications of strata of differentials},
author = {Benjamin Dozier},
journal= {arXiv preprint arXiv:2401.04844},
year = {2025}
}
Comments
19 pages, 7 figures, 1 table. Small updates, elaborations, and clarifications based on referee report