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The classification of linked 3-manifolds in 6-space

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Publication:2106573
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DOI10.2140/agt.2022.22.2587zbMath1506.57019arXiv1704.06501OpenAlexW2608246604MaRDI QIDQ2106573

Sergey Avvakumov

Publication date: 16 December 2022

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06501


zbMATH Keywords

isotopy classificationhigh codimension links


Mathematics Subject Classification ID

Isotopy in differential topology (57R52) Isotopy in PL-topology (57Q37) Higher-dimensional knots and links (57K45)




Cites Work

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  • On smoothing embeddings and isotopies
  • Manifolds with transverse fields in euclidean space
  • A classification of smooth embeddings of 3-manifolds in 6-space
  • Lissage des immersions. I
  • Enlacements de sphères en co-dimension supérieure à 2
  • Concordance, isotopy, and diffeotopy
  • Plongements de variétés différentiables orientées de dimension 4k dans \(R^{6k+1}\)
  • The classification of certain linked $3$-manifolds in $6$-space
  • Suspension theorems for links and link maps
  • Classification of knotted tori
  • On the Homotopy Groups of the Union of Spheres
  • The imbedding of bounding manifolds in Euclidean space


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