#### Volume 7, issue 3 (2007)

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Rational blow-down along Wahl type plumbing trees of spheres

### Maria Michalogiorgaki

Algebraic & Geometric Topology 7 (2007) 1327–1343
 arXiv: math.GT/0607608
##### Abstract

In this article, we construct smooth 4–manifolds homeomorphic but not diffeomorphic to ${ℂℙ}^{2}#k{\overline{ℂℙ}}^{2}$, for $k\in \left\{6,7,8,9\right\},$ using the technique of rational blow-down along Wahl type plumbing trees of spheres (see J Wahl, Smoothings of normal surface singularities, Topology 20 (1981) 219–246).

##### Keywords
exotic smooth 4–manifolds, Seiberg–Witten invariants, rational blow-down
##### Mathematical Subject Classification 2000
Primary: 57R55, 57R57
Secondary: 14J26, 53D05