Homomorphisms to 3–Manifold Groups
Abstract We prove foundational results about the set of homomorphisms from a finitely generated group to the collection of all fundamental groups of compact 3–manifolds and answer questions of Agol–Liu (J. Am. Math. Soc. 25(1):151–187, 2012) and Reid–Wang–Zhou (Acta Math. Sin. Engl. Ser. 18(1):157–172, 2002).
Authors
- Michael Hull (ORCID: https://orcid.org/0000-0002-0665-5468)
- Daniel Groves (ORCID: https://orcid.org/0000-0002-3613-8066)
- Hao Liang (ORCID: https://orcid.org/0000-0003-2766-5144)
Institutions
- Foshan University (CN)
- University of North Carolina at Greensboro (US)
- University of Illinois Chicago (US)
Publication Details
- Journal
- Geometric and Functional Analysis
- Published
- 2025-05-28
- DOI
- https://doi.org/10.1007/s00039-025-00713-1
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00