Trees of multidisks as Gromov boundaries of amalgamated products

Dominika Pawlik; Aleksander Zabłocki

Trees of multidisks as Gromov boundaries of amalgamated products

Geometric Topology 2016-02-23 v2

Authors: Dominika Pawlik , Aleksander Zabłocki

Abstract

We describe, under some additional technical assumptions, the Gromov boundary of the free product of several $G_i$ 's amalgamated wrt. $H$ , where $G_i$ are hyperbolic groups with boundary homeomorphic to a densely punctured $n$ -sphere, and $H$ is their common subgroup corresponding to a peripheral sphere in each of the $\partial G_i$ 's.

Keywords

Gromov boundary hyperbolic group amalgamated free product multidisks densely punctured sphere

Cite

@article{arxiv.1602.00335,
  title  = {Trees of multidisks as Gromov boundaries of amalgamated products},
  author = {Dominika Pawlik and Aleksander Zabłocki},
  journal= {arXiv preprint arXiv:1602.00335},
  year   = {2016}
}

Comments

Withdrawn after we were informed about a similar paper arxiv.org/pdf/math/0203258

Trees of multidisks as Gromov boundaries of amalgamated products

Abstract

Keywords

Cite

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