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<p>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, <CitationRef CitationID="CR2">2012</CitationRef>) and Reid–Wang–Zhou (Acta Math. Sin. Engl. Ser. 18(1):157–172, <CitationRef CitationID="CR42">2002</CitationRef>).</p>

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Homomorphisms to 3–Manifold Groups

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月28日

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  • Daniel Groves,
  • Michael Hull,
  • Hao Liang

摘要

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).