#### Volume 4, issue 1 (2000)

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Subexponential groups in 4–manifold topology

### Vyacheslav S Krushkal and Frank Quinn

Geometry & Topology 4 (2000) 407–430
 arXiv: math.GT/0001063
##### 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
$4$–manifolds, groups of subexponential growth, gropes
##### Mathematical Subject Classification 2000
Primary: 57N13
Secondary: 57N37, 57N70, 57R65