Covers of surfaces
Geometric Topology
2025-08-05 v3
Abstract
We study the homeomorphism types of certain covers of (always orientable) surfaces, usually of infinite-type. We show that every surface with non-abelian fundamental group is covered by every noncompact surface, we identify the universal abelian covers and the -homology covers of surfaces, and we show that non-locally finite characteristic covers of surfaces have four possible homeomorphism types.
Keywords
Cite
@article{arxiv.2409.03967,
title = {Covers of surfaces},
author = {Ian Biringer and Yassin Chandran and Tommaso Cremaschi and Jing Tao and Nicholas G. Vlamis and Mujie Wang and Brandis Whitfield},
journal= {arXiv preprint arXiv:2409.03967},
year = {2025}
}
Comments
final version, accepted at AGT