An exotic smooth structure on CP^2+6CP^2-bar

By A. Stipsicz, Zolt'an Szab'o. 2004

63 citations recorded by the source corpus.

We construct smooth 4–manifolds homeomorphic but not diffeomorphic to CP#6CP2 . AMS Classification numbers Primary: 53D05, 14J26 Secondary: 57R55, 57R57

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/27a851e17606a03675bded72fb67d62042842168

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In Applied Mathematics

1. Jonathan Rosenberg
2. A. Stipsicz
3. Zolt'an Szab'o
4. J. Wahl
5. Peter S. Ozsv'ath
6. Ian Zemke
7. M. Hedden
8. Ciprian Manolescu

In Geometry and Topology

1. A. Stipsicz
2. Zolt'an Szab'o
3. Jonathan Rosenberg
4. J. Wahl
5. Peter S. Ozsv'ath
6. P. Lisca
7. Ciprian Manolescu
8. John A. Baldwin

Citations in the corpus

• Manifolds of Positive Scalar Curvature: A Progress Report (2006, result): “Finally, there are some other results that imply something interesting about the space R+(M).”
• Exotic smooth structures on small 4-manifolds with odd signatures (2007, unknown): “An irreducible symplectic 4-manifold homeomorphic to CP2#6CP2 was rst constructed in [ 20 ].”
• Rational blowdowns and smoothings of surface singularities (2006, background): “This scheme admits many applications in finding 4-manifolds with various properties, for example, in searching for exotic smooth structures on 4-manifolds with small Euler characteristic [6, 24, 25, 30].”