Geometry & Topology 4 (2000) 407–430

DOI: 10.2140/gt.2000.4.407

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

Primary: 57N13

Secondary: 57N37, 57N70, 57R65

References

Forward citations

Publication

Received: 22 May 2000
Accepted: 3 November 2000
Published: 10 November 2000
Proposed: Robion Kirby
Seconded: Wolfgang Metzler, Cameron Gordon

Authors