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

Ronald Fintushel; Ronald J. Stern

doi:10.2140/agt.2011.11.1649

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arXiv · 1004.3049

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

Ronald Fintushel·Ronald J. Stern

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

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BibTeX RIS

Ronald Fintushel, Ronald J. Stern. 2011-04-13. Pinwheels and nullhomologous surgery on 4-manifolds with b^+ = 1. https://doi.org/10.2140/agt.2011.11.1649

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