Exponential separation in 4-manifolds
几何拓扑
2014-11-11 v2
摘要
We use a new geometric construction, grope splitting, to give a sharp bound for separation of surfaces in 4-manifolds. We also describe applications of this technique in link-homotopy theory, and to the problem of locating pi_1-null surfaces in 4-manifolds. In our applications to link-homotopy, grope splitting serves as a geometric substitute for the Milnor group.
引用
@article{arxiv.math/0008212,
title = {Exponential separation in 4-manifolds},
author = {Vyacheslav S Krushkal},
journal= {arXiv preprint arXiv:math/0008212},
year = {2014}
}
备注
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol4/paper13.abs.html