Volume 4, issue 1 (2000)

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ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
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
References
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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