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arXiv · 1403.2865

Quasi-isometry Invariants from Decorated Trees of Cylinders of Two-Ended JSJ Decompositions

Christopher H. Cashen
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Abstract

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.

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Christopher H. Cashen. 2016-01-27. Quasi-isometry Invariants from Decorated Trees of Cylinders of Two-Ended JSJ Decompositions. https://arxiv.org/abs/1403.2865

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