Homomorphisms to 3-manifold groups

2021/03/10 by Groves, Daniel, Hull, Michael, Liang, Hao · 1 citation
#FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2103.06095

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.

Cited by

• A preorder on the set of links with applications to symmetric unions

Related

• 3-manifold groups
• Sufficient Conditions for Recognizing a 3-manifold Group
• On the algebraic K-theory of 3-manifold groups
• Homomorphisms between fundamental groups of Kähler manifolds
• On the fundamental group of some open manifolds