Homomorphisms to 3–Manifold Groups

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...

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Published inGeometric and functional analysis Vol. 35; no. 3; pp. 736 - 811
Main Authors Groves, Daniel, Hull, Michael, Liang, Hao
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.06.2025
Springer Nature B.V
Subjects
Analysis
Homomorphisms
Manifolds
Mathematics
Mathematics and Statistics
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Summary: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 ).
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1016-443X
1420-8970
DOI:10.1007/s00039-025-00713-1