The 4-dimensional light bulb theorem

DOI10.1090/jams/920zbMath1479.57048arXiv1705.09989OpenAlexW2962819649WikidataQ128225123 ScholiaQ128225123MaRDI QIDQ3300662

David Gabai

Publication date: 29 July 2020

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.09989

zbMATH Keywords

homotopy versus isotopylight bulb theoremspheres in 4-manifolds

Mathematics Subject Classification ID

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

Related Items (10)

Homotopy versus isotopy: spheres with duals in 4-manifolds ⋮ Knot concordances in $S^1\times S^2$ and exotic smooth $4$-manifolds ⋮ Isotopy of surfaces in 4-manifolds after a single stabilization ⋮ Unknotting numbers of 2‐spheres in the 4‐sphere ⋮ MATRIX-MFO tandem workshop: Invariants and structures in low-dimensional topology. Abstracts from the MATRIX-MFO tandem workshop held September 5--11, 2021 (hybrid meeting) ⋮ Knotted surfaces in $4$-manifolds by knot surgery and stabilization ⋮ Isotopies of surfaces in 4-manifolds via banded unlink diagrams ⋮ Self-referential discs and the light bulb lemma ⋮ Concordances from the standard surface in S2 × S2 ⋮ Embedding all contact 3‐manifolds in a fixed contact 5‐manifold

Cites Work

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• The classification of immersions of spheres in Euclidean spaces
• A proof of the Smale conjecture, \(Diff(S^ 3)\simeq O(4)\)
• Total absolute curvature and embedded Morse numbers
• Concordance implies homotopy for classical links in \(M^3\)
• Isotopy of 4-manifolds
• Surfaces in 4-space
• Smooth spheres in \({\mathbb{R}}^ 4\) with four critical points are standard
• Sur les difféomorphismes de la sphère de dimension trois \(\Gamma_ 4 = 0\)
• Dehn's Lemma for certain 4-manifolds
• La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
• Sur les 2-sphères d'une variété de dimension 3
• A Classification of Immersions of the Two-Sphere
• Extending Diffeomorphisms
• Topologie de certains espaces de plongements
• Link concordance implies link homotopy.
• Pseudo-isotopies de plongements en codimension 2
• ON A CALCULUS FOR 2-KNOTS AND SURFACES IN 4-SPACE
• The golden age of immersion theory in topology: 1959--1973. A mathematical survey from a historical perspective
• A Generalization of the Lightbulb Theorem and PL I-Equivalence of Links
• Equivalent non‐isotopic spheres in 4‐manifolds
• Stable isotopy in four dimensions
• Isotoping 2-spheres in 4-manifolds
• The embedding of two-spheres in the four-sphere
• Diffeomorphisms of the 2-Sphere

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