Geodesic
Pinwheels and nullhomologous surgery on 4–manifolds with b+ = 1
Fintushel, Ronald1 ; Stern, Ronald J2
1Department of Mathematics, Michigan State University, East Lansing MI 48824, USA
2Department of Mathematics, University of California, Irvine, Irvine CA 92697-3875, USA
Algebraic and Geometric Topology, Tome 11 (2011) no. 3, pp. 1649-1699
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We present a method for finding embedded nullhomologous tori in standard 4–manifolds which can be utilized to change their smooth structure. As an application, we show how to obtain infinite families of simply connected smooth 4–manifolds with b+ = 1 and b− = 2,…,7, via surgery on nullhomologous tori embedded in the standard manifolds ℂ‘ℙ2#kℂ‘ℙ¯2, k = 2,…,7.

DOI : 10.2140/agt.2011.11.1649
Classification : 57R55, 57R57, 14J26, 53D05
Keywords: $4$–manifold, Seiberg–Witten invariant

Fintushel, Ronald  1   ; Stern, Ronald J  2

1 Department of Mathematics, Michigan State University, East Lansing MI 48824, USA
2 Department of Mathematics, University of California, Irvine, Irvine CA 92697-3875, USA 
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Fintushel, Ronald; Stern, Ronald J. Pinwheels and nullhomologous surgery on 4–manifolds with b+ = 1. Algebraic and Geometric Topology, Tome 11 (2011) no. 3, pp. 1649-1699. doi: 10.2140/agt.2011.11.1649

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