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 in | Geometric and functional analysis Vol. 35; no. 3; pp. 736 - 811 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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| 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
). |
|---|---|
| AbstractList | 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
). 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). |
| Author | Groves, Daniel Liang, Hao Hull, Michael |
| Author_xml | – sequence: 1 givenname: Daniel surname: Groves fullname: Groves, Daniel email: dgroves@uic.edu organization: Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago – sequence: 2 givenname: Michael surname: Hull fullname: Hull, Michael organization: Department of Mathematics & Statistics, University of North Carolina at Greensboro – sequence: 3 givenname: Hao surname: Liang fullname: Liang, Hao organization: School of Mathematics, Foshan University |
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| SubjectTerms | Analysis Homomorphisms Manifolds Mathematics Mathematics and Statistics |
| Title | Homomorphisms to 3–Manifold Groups |
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