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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 2#k¯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).

Keywords
exotic smooth 4–manifolds, Seiberg–Witten invariants, rational blow-down
Mathematical Subject Classification 2000
Primary: 57R55, 57R57
Secondary: 14J26, 53D05
References
Publication
Received: 11 October 2006
Revised: 16 April 2007
Accepted: 17 August 2007
Published: 24 September 2007
Authors
Maria Michalogiorgaki
Department of Mathematics
Princeton University
Fine Hall
Washington Road
Princeton NJ 08544
USA