Distortion of surfaces in graph manifolds
Group Theory
2019-02-13 v2 Geometric Topology
Abstract
Let S be an immersed horizontal surface in a 3-dimensional graph manifold. We show that the fundamental group of the surface S is quadratically distorted whenever the surface is virtually embedded (i.e., separable) and is exponentially distorted when the surface is not virtually embedded.
Keywords
Cite
@article{arxiv.1703.07458,
title = {Distortion of surfaces in graph manifolds},
author = {G. Christopher Hruska and Hoang Thanh Nguyen},
journal= {arXiv preprint arXiv:1703.07458},
year = {2019}
}
Comments
29 pages, 2 figures