Pinwheels and nullhomologous surgery on 4-manifolds with b^+ = 1
Geometric Topology
2014-10-01 v3 Algebraic Geometry
Symplectic Geometry
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.
Cite
@article{arxiv.1004.3049,
title = {Pinwheels and nullhomologous surgery on 4-manifolds with b^+ = 1},
author = {Ronald Fintushel and Ronald J. Stern},
journal= {arXiv preprint arXiv:1004.3049},
year = {2014}
}
Comments
Final version. To appear in AGT