Simply connected symplectic 4-manifolds with b2+=1 and c12=2
By Jongil Park. 2003
102 citations recorded by the source corpus.
In this article we construct a new simply connected symplectic 4-manifold with b2+=1 and c12=2 which is homeomorphic, but not diffeomorphic, to a rational surface by using rational blow-down technique. As a corollary, we conclude that a rational surface $\mathbf{C}P^{2}{\sharp} 7 \overline{\mathbf{C}P}^{2}$ admits an exotic smooth structure.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/4383d1ad8eb5b377ed02deae232b457f39c4035f
How researchers see this paper
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In Applied Mathematics
- Jonathan Rosenberg
- A. Stipsicz
- Zolt'an Szab'o
- J. Wahl
- Peter S. Ozsv'ath
- Ian Zemke
- M. Hedden
- Ciprian Manolescu
In Geometry and Topology
- A. Stipsicz
- Zolt'an Szab'o
- Jonathan Rosenberg
- J. Wahl
- Peter S. Ozsv'ath
- P. Lisca
- Ciprian Manolescu
- John A. Baldwin
Citations in the corpus
- Rational blowdowns and smoothings of surface singularities (2006, background): “) This scheme admits many applications in finding 4–manifolds with various properties, for example in the search for exotic smooth structures on 4–manifolds with small Euler characteristic [7, 32, 33, 37].”
- 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).”