The classification of linked 3–manifolds in 6–space

Avvakumov, Sergey

doi:10.2140/agt.2022.22.2587

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The classification of linked $3$–manifolds in $6$–space

Sergey Avvakumov

Algebraic & Geometric Topology 22 (2022) 2587–2630

DOI: 10.2140/agt.2022.22.2587

Abstract

Let $M_{1}$ and $M_{2}$ be closed connected orientable $3$ –manifolds. We classify the sets of smooth and piecewise linear isotopy classes of embeddings $M_{1} ⊔ M_{2} \to S^{6}$ .

Keywords

high codimension links, isotopy classification

Mathematical Subject Classification 2010

Primary: 57Q37, 57Q45, 57R52

References

Publication

Received: 15 March 2018

Revised: 14 July 2021

Accepted: 23 July 2021

Published: 13 December 2022

Authors

Sergey Avvakumov
Department of Mathematical Sciences University of Copenhagen Copenhagen Denmark	Department of Mathematics University of Toronto Toronto ON Canada

Volume 22, issue 6 (2022)