3-Manifolds with abelian embeddings in S4

DOI10.1142/S0218216520500017zbMath1441.57022arXiv1707.00376WikidataQ126591031 ScholiaQ126591031MaRDI QIDQ5220463

Jonathan A. Hillman

Publication date: 26 March 2020

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.00376

zbMATH Keywords

surgery3-manifoldhomology handleabelian embeddingbipartedly trivial link

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) General topology of 4-manifolds (57K40)

Related Items (1)

3-Manifolds with nilpotent embeddings in S4

Cites Work

• Detecting the standard embedding of \({\mathbb{R}}P^ 2\) in \(S^ 4\)
• Factorization of 3-manifolds
• A loop theorem for duality spaces and fibred ribbon knots
• A vanishing theorem for Euler characteristics
• Dehn's lemma and handle decompositions of some 4-manifolds
• Decomposition of \(S^ 4\) as a twisted double of a certain manifold
• Generalised Swan modules and the D(2) problem
• Poincaré complexes. I
• Trees of homotopy types of two-dimensional CW-complexes
• Annulus twist and diffeomorphic 4-manifolds
• Complements of connected hypersurfaces in S4
• Embedding Seifert Fibred 3-Manifolds and Sol³ -Manifolds in 4-Space
• Embedding homology equivalent 3-manifolds in 4-space
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