Homotopy versus isotopy: spheres with duals in 4-manifolds

DOI10.1215/00127094-2021-0016zbMath1497.57029arXiv1904.12350OpenAlexW4206169184WikidataQ114060425 ScholiaQ114060425MaRDI QIDQ2119892

Rob Schneiderman, Peter Teichner

Publication date: 30 March 2022

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.12350

zbMATH Keywords

Freedman-Quinn invarianthomotopy versus isotopylight bulb theoremspheres in 4-manifolds

Mathematics Subject Classification ID

Embeddings in differential topology (57R40) Isotopy in differential topology (57R52) Higher-dimensional knots and links (57K45) General topology of 4-manifolds (57K40)

Related Items (2)

Unknotting numbers of 2‐spheres in the 4‐sphere ⋮ Introduction to Whitney towers

Cites Work

• Unnamed Item
• All two dimensions links are null homotopic
• Uniqueness of \(\pi_ 1\)-negligible embeddings in 4-manifolds: A correction to theorem 10.5 of Freedman and Quinn
• Isotopy of surfaces in 4-manifolds after a single stabilization
• Self-referential discs and the light bulb lemma
• The group of disjoint 2-spheres in 4-space
• Heegaard-Zerlegungen der 3-Sphäre
• Dehn's Lemma for certain 4-manifolds
• A certain exact sequence
• The 4-dimensional light bulb theorem
• Three-Dimensional Manifolds and Their Heegaard Diagrams
• Equivalent non‐isotopic spheres in 4‐manifolds
• Étude homotopique des espaces de plongements
• Unknotting numbers of 2‐spheres in the 4‐sphere

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