Embeddings of non-simply-connected 4-manifolds in 7-space. II. On the smooth classification

DOI10.1017/prm.2020.103zbMath1490.57036arXiv1612.04776OpenAlexW3123063128MaRDI QIDQ5861966

Diarmuid J. Crowley, Arkadij B. Skopenkov

Publication date: 3 March 2022

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.04776

zbMATH Keywords

4-manifoldsembeddingsisotopyhigher-dimensional knotsembedded connected sum

Mathematics Subject Classification ID

Isotopy in differential topology (57R52) Surgery obstructions, Wall groups (57R67) Classification of fiber spaces or bundles in algebraic topology (55R15)

Related Items (2)

A classification of smooth embeddings of 4-manifolds in 7-space. I. ⋮ Embeddings of non-simply-connected 4-manifolds in 7-space. I. Classification modulo knots

Cites Work

• Some nondiffeomorphic homeomorphic homogeneous 7-manifolds with positive sectional curvature
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• Homotopy decompositions of equivariant function spaces. I: Spaces of principal bundle maps
• A CLASSIFICATION OF SMOOTH EMBEDDINGS OF FOUR-MANIFOLDS IN SEVEN-SPACE, II
• On the Inertia Groups of Certain Manifolds
• Classification of knotted tori in 2-metastable dimension
• Embeddings of non-simply-connected 4-manifolds in 7-space. I. Classification modulo knots
• Classification of knotted tori
• When is the set of embeddings finite up to isotopy?
• Inertia Groups of Manifolds and Diffeomorphisms of Spheres
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