Rational blow-down along Wahl type plumbing trees of spheres

Michalogiorgaki, Maria¹

¹Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton NJ 08544, USA

Algebraic and Geometric Topology, Tome 7 (2007) no. 3, pp. 1327-1343

Résumé

In this article, we construct smooth 4–manifolds homeomorphic but not diffeomorphic to ℂℙ2#kℂℙ¯2, for k ∈{6,7,8,9}, 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).

Détail

DOI : 10.2140/agt.2007.7.1327

Keywords: exotic smooth 4–manifolds, Seiberg–Witten invariants, rational blow-down

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