Homomorphisms to 3-manifold groups
Geometric Topology
2024-07-15 v3 Group Theory
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 Reid-Wang-Zhou and Agol-Liu.
Keywords
Cite
@article{arxiv.2103.06095,
title = {Homomorphisms to 3-manifold groups},
author = {Daniel Groves and Michael Hull and Hao Liang},
journal= {arXiv preprint arXiv:2103.06095},
year = {2024}
}
Comments
50 pages. v2: Minor changes to introduction, and fixed some typos. Results remain unchanged. v3: 55 pages. Substantial rewrite for clarity, with details added and corrections made