3-manifold groups have unique asymptotic cones
Group Theory
2011-09-23 v1 Metric Geometry
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.
Keywords
Cite
@article{arxiv.1109.4674,
title = {3-manifold groups have unique asymptotic cones},
author = {Alessandro Sisto},
journal= {arXiv preprint arXiv:1109.4674},
year = {2011}
}
Comments
10 pages