English

Reverse engineering small 4-manifolds

Geometric Topology 2014-10-01 v6 Symplectic Geometry

Abstract

We introduce a general procedure called `reverse engineering' that can be used to construct infinite families of smooth 4-manifolds in a given homeomorphism type. As one of the applications of this technique, we produce an infinite family of pairwise nondiffeomorphic 4-manifolds homeomorphic to CP^2#3(-CP^2).

Keywords

Cite

@article{arxiv.math/0701846,
  title  = {Reverse engineering small 4-manifolds},
  author = {Ronald Fintushel and B. Doug Park and Ronald J. Stern},
  journal= {arXiv preprint arXiv:math/0701846},
  year   = {2014}
}

Comments

13 pages, 2 figures. This is the final version published in AGT, volume 7 (2007), pp. 2103-2116.