Stable immersions in orbifolds
Geometric Topology
2015-09-30 v3
Abstract
We prove that in any hyperbolic orbifold with one boundary component, the product of any hyperbolic fundamental group element with a sufficiently large multiple of the boundary is represented by a geodesic loop that virtually bounds an immersed surface. In the case that the orbifold is a disk, there are some conditions. Our results generalize work of Calegari-Louwsma and resolve a conjecture of Calegari.
Cite
@article{arxiv.1312.2862,
title = {Stable immersions in orbifolds},
author = {Alden Walker},
journal= {arXiv preprint arXiv:1312.2862},
year = {2015}
}
Comments
Better proofs; better pictures. (27 pages, 21 figures)