Subexponential groups in 4–manifold topology
Copyright policy )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.
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol4/paper14.abs.html
- Yale University United States
- Virginia Tech United States
Isotopy and pseudo-isotopy, Geometric Topology (math.GT), Topology of the Euclidean \(4\)-space, \(4\)-manifolds, 57N70, Mathematics - Geometric Topology, Cobordism and concordance in topological manifolds, 57N37, 57R65, 57N13, gropes, FOS: Mathematics, $4$–manifolds, 57N13, 57N37, 57N70, 57R65, Surgery and handlebodies, groups of subexponential growth
Isotopy and pseudo-isotopy, Geometric Topology (math.GT), Topology of the Euclidean \(4\)-space, \(4\)-manifolds, 57N70, Mathematics - Geometric Topology, Cobordism and concordance in topological manifolds, 57N37, 57R65, 57N13, gropes, FOS: Mathematics, $4$–manifolds, 57N13, 57N37, 57N70, 57R65, Surgery and handlebodies, groups of subexponential growth
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