English

Subexponential groups in 4-manifold topology

Geometric Topology 2014-11-11 v3

Abstract

We present a new, more elementary proof of the Freedman-Teichner result that the geometric classification techniques (surgery, s-cobordism, and pseudoisotopy) hold for topological 4-manifolds with groups of subexponential growth. In an appendix Freedman and Teichner give a correction to their original proof, and reformulate the growth estimates in terms of coarse geometry.

Keywords

Cite

@article{arxiv.math/0001063,
  title  = {Subexponential groups in 4-manifold topology},
  author = {Vyacheslav S Krushkal and Frank Quinn},
  journal= {arXiv preprint arXiv:math/0001063},
  year   = {2014}
}

Comments

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol4/paper14.abs.html