Cylinder decompositions on geometric armadillo tails
Geometric Topology
2025-10-21 v3
Abstract
We study a class of finite-area, infinite-type translation surfaces, and find an explicit cylinder decomposition on these surfaces which do not manifest on finite-type translation surfaces. Each cylinder decomposition contains a special curve which we show is an obstruction to the existence of certain affine diffeomorphisms.
Cite
@article{arxiv.2412.03535,
title = {Cylinder decompositions on geometric armadillo tails},
author = {Dami Lee and Josh Southerland},
journal= {arXiv preprint arXiv:2412.03535},
year = {2025}
}
Comments
Clarified distinction between surfaces and metric completion. Added context. Comments welcome