41 research outputs found
Quasi-isometry Invariants from Decorated Trees of Cylinders of Two-Ended JSJ Decompositions
We construct quasi-isometry invariants of a one-ended finitely presented
group by considering the tree of cylinders of a two-ended JSJ decomposition of
the group. When the group satisfies additional quasi-isometric rigidity
hypotheses we construct finer invariants by also considering relative amounts
of stretching across edges of the tree of cylinders.Comment: arXiv:1601.07147 now contains all of these results and much, much
mor
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.Comment: Minor revision (added footnote in the Introduction