Fibered 3-manifolds and Veech groups
arXiv:2212.13320 · doi:10.2140/agt.2025.25.1897
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.
16 pages, 2 figures. v3. with minor edits after receiving the referee's report