Subexponential groups in 4–manifold topology

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

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

Vyacheslav S Krushkal
Department of Mathematics Yale University New Haven CT 06520-8283 USA

Frank Quinn
Department of Mathematics Virginia Tech Blacksburg VA 24061-0123 USA

Volume 4, issue 1 (2000)

Vyacheslav S Krushkal and Frank Quinn