Subexponential groups in 4-manifold topology

Details Subexponential groups in 4-manifold topology Subexponential groups in 4-manifold topology

2000-01-11

arxiv.org/abs/math/0001063v3

Geom. Topol. 4(2000) 407-430

Mathematics

Geometric Topology

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

Scientific paper

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.

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