Algebraic & Geometric Topology 11 (2011) 1649–1699

DOI: 10.2140/agt.2011.11.1649

Abstract

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‘P², k = 2,…,7.

Keywords

4–manifold, Seiberg–Witten invariant

Mathematical Subject Classification

Primary: 57R55

Secondary: 14J26, 53D05, 57R57

References

Publication

Received: 8 November 2010
Accepted: 17 March 2011
Published: 3 June 2011

Authors