Subexponential groups in 4-manifold topology

By Vyacheslav Krushkal, F. Quinn. 2000

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We present a new, more elementary proof of the Freedman{Teichner result that the geometric classication 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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f64b4c100d8ba388ef9eb64a2af1a9babd2c0864