3-manifolds with more than one abelian embedding

2025/06/01 by Jonathan A. Hillman, Hillman, Jonathan A.
Mathematics · #57M99 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2506.01186

openalex publication_date 2025/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct 3-manifolds which have at least two inequivalent embeddings such that both complementary regions have abelian fundamental group.

Citations

• Locally flat embeddings of 3-manifolds in S⁴

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