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arXiv · 1109.4674

3-manifold groups have unique asymptotic cones

Alessandro Sisto
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Abstract

We describe the (minimal) tree-graded structure of asymptotic cones of non-geometric graph manifold groups, and as a consequence we show that all said asymptotic cones are bilipschitz equivalent. Combining this with geometrization and other known results we obtain that all asymptotic cones of a given 3-manifold group are bilipschitz equivalent.

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Alessandro Sisto. 2011-09-21. 3-manifold groups have unique asymptotic cones. https://arxiv.org/abs/1109.4674

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