Pinwheels and nullhomologous surgery on 4-manifolds with b^+ = 1

Mathematics – Geometric Topology

Scientific paper

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Final version. To appear in AGT

Scientific paper

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 CP^2 # k (-CP^2), k=2,...,7.

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