Fibered 3-manifolds and Veech groups
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.
Authors
- Kasra Rafi (ORCID: https://orcid.org/0000-0002-9343-3889)
- Yvon Verberne (ORCID: https://orcid.org/0000-0002-7150-5976)
- Christopher J. Leininger (ORCID: https://orcid.org/0000-0002-8937-0678)
- Nicholas Rouse (ORCID: https://orcid.org/0000-0001-8603-0347)
- Emily Shinkle (ORCID: https://orcid.org/0000-0003-2255-0540)
Institutions
- Western University (CA)
- University of British Columbia (CA)
- University of Illinois Urbana-Champaign (US)
- University of Toronto (CA)
- Rice University (US)
Publication Details
- Journal
- Algebraic & Geometric Topology
- Published
- 2025-06-20
- DOI
- https://doi.org/10.2140/agt.2025.25.1897
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Natural Sciences and Engineering Research Council of Canada