Fibered 3-manifolds and Veech groups
Geometric Topology
2025-07-02 v3
Abstract
We study Veech groups associated to the pseudo-Anosov monodromies of fibers and foliations of a fixed hyperbolic 3-manifold. Assuming Lehmer's Conjecture, we prove that the Veech groups associated to fibers generically contain no parabolic elements. For foliations, we prove that the Veech groups are always elementary.
Cite
@article{arxiv.2212.13320,
title = {Fibered 3-manifolds and Veech groups},
author = {Christopher J. Leininger and Kasra Rafi and Nicholas Rouse and Emily Shinkle and Yvon Verberne},
journal= {arXiv preprint arXiv:2212.13320},
year = {2025}
}
Comments
16 pages, 2 figures. v3. with minor edits after receiving the referee's report