3-Manifolds with abelian embeddings in $S^4$

J. A. Hillman

doi:10.1142/s0218216520500017

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arXiv · 1707.00376

3-Manifolds with abelian embeddings in $S^4$

J. A. Hillman

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Abstract

We consider embeddings of 3-manifolds in $S^4$ such that each of the two complementary regions has an abelian fundamental group. In particular, we show that an homology handle $M$ has such an embedding if and only if $π_1(M)'$ is perfect, and that the embedding is then essentially unique.

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BibTeX RIS

J. A. Hillman. 2018-05-31. 3-Manifolds with abelian embeddings in $S^4$. https://doi.org/10.1142/s0218216520500017

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