Quasi-isometric classification of non-geometric 3-manifold groups

Quasi-isometric classification of non-geometric 3-manifold groups

We describe the quasi-isometric classification of fundamental groups of irreducible non-geometric 3-manifolds which do not have “too many” arithmetic hyperbolic geometric components, thus completing the quasi-isometric classification of 3-manifold groups in all but a few exceptional cases.

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Veröffentlicht in:Journal für die reine und angewandte Mathematik 2012-08, Vol.2012 (669), p.101-120
Hauptverfasser: Behrstock, Jason A., Neumann, Walter D.
Format: Artikel
Sprache:eng
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Zusammenfassung:We describe the quasi-isometric classification of fundamental groups of irreducible non-geometric 3-manifolds which do not have “too many” arithmetic hyperbolic geometric components, thus completing the quasi-isometric classification of 3-manifold groups in all but a few exceptional cases.
ISSN:0075-4102
1435-5345
DOI:10.1515/CRELLE.2011.143