Geodesic
Subexponential groups in 4–manifold topology
Krushkal, Vyacheslav S1 ; Quinn, Frank2
1 Department of Mathematics, Yale University, New Haven CT 06520-8283, USA
2 Department of Mathematics, Virginia Tech, Blacksburg VA 24061-0123, USA
Geometry & topology, Tome 4 (2000) no. 1, pp. 407-430.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2000.4.407
Keywords: $4$–manifolds, groups of subexponential growth, gropes

Krushkal, Vyacheslav S 1 ; Quinn, Frank 2

1 Department of Mathematics, Yale University, New Haven CT 06520-8283, USA
2 Department of Mathematics, Virginia Tech, Blacksburg VA 24061-0123, USA 
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Krushkal, Vyacheslav S; Quinn, Frank. Subexponential groups in 4–manifold topology. Geometry & topology, Tome 4 (2000) no. 1, pp. 407-430. doi : 10.2140/gt.2000.4.407. http://geodesic.mathdoc.fr/articles/10.2140/gt.2000.4.407/

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[3] M H Freedman, F Quinn, Topology of 4–manifolds, Princeton Mathematical Series 39, Princeton University Press (1990)

[4] M H Freedman, P Teichner, 4–manifold topology I: Subexponential groups, Invent. Math. 122 (1995) 509

[5] V S Krushkal, Exponential separation in 4–manifolds, Geom. Topol. 4 (2000) 397

[6] F Quinn, Pseudoisotopies of 4–manifolds, preprint

[7] R Stong, Four manifold topology and groups of polynomial growth, Pacific J. Math. 157 (1993) 145

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