Exotic knottings of surfaces in the 4-sphere
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Publication:3774576
DOI10.1090/S0273-0979-1987-15562-5zbMath0635.57008OpenAlexW2017580416MaRDI QIDQ3774576
Sergey Finashin, Matthias Kreck, O. Ya. Viro
Publication date: 1987
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0273-0979-1987-15562-5
homeomorphic but not diffeomorphicconnected sum of 10 copies of \({bbfR}P^ 2\)Dolgachev complex elliptic surfaceexotic 2-dimensional knotssmooth submanifolds of \(S^ 4\)
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Related Items (6)
A mixed invariant of nonorientable surfaces in equivariant Khovanov homology ⋮ Bridge trisections of knotted surfaces in 𝑆⁴ ⋮ Knotted surfaces in $4$-manifolds by knot surgery and stabilization ⋮ A CLASSIFICATION OF SMOOTH EMBEDDINGS OF FOUR-MANIFOLDS IN SEVEN-SPACE, II ⋮ A classification of smooth embeddings of 4-manifolds in 7-space. I. ⋮ Transverse invariants and exotic surfaces in the \(4\)-ball
Cites Work
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- Detecting the standard embedding of \({\mathbb{R}}P^ 2\) in \(S^ 4\)
- The topology of four-dimensional manifolds
- Stable bundles and differentiable structures on certain elliptic surfaces
- Irrationality and the h-cobordism conjecture
- Surgery and duality
- The quotient space of the complex projective plane under conjugation is a 4-sphere
- The quotient space of \(CP(2)\) by complex conjugation is the 4-sphere
- Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
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