3-manifold groups have unique asymptotic cones

Details 3-manifold groups have unique asymptotic cones 3-manifold groups have unique asymptotic cones

2011-09-21

arxiv.org/abs/1109.4674v1

Mathematics

Group Theory

10 pages

Scientific paper

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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