Families of four dimensional manifolds that become mutually diffeomorphic after one stabilization
Geometric Topology
2007-05-23 v1
Abstract
In this paper, we will introduce a cut and paste move, called a geometrically null log transform, and prove that any two manifolds related by a sequence of these moves become diffeomorphic afte r one stabilization. To motivate the cut and paste move, we will use the symplec tic fiber sum, and a construction of Fintushel and Stern to construct several large families of 4-manifolds. We will then proceed to prove that the members of any one of these families become diffeomorphic after one stabilization. Finally, we will compute the Seiberg-Witten invariants of each member of each of the families.
Keywords
Cite
@article{arxiv.math/0009248,
title = {Families of four dimensional manifolds that become mutually diffeomorphic after one stabilization},
author = {D. Auckly},
journal= {arXiv preprint arXiv:math/0009248},
year = {2007}
}
Comments
23 pages, 30 figures