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Gromov boundary of the Grand Arc graph
Preprint

Gromov boundary of the Grand Arc graph

Carolyn Abbott, Assaf Bar-Natan and Arya Vadnere
07/01/2026

Abstract

Mathematics - Geometric Topology
We describe a dense subset of the Gromov boundary of the grand arc graph of an infinite-type surface as a space of geodesic laminations, analogous to Klarreich's description of the Gromov boundary of the curve complex. After showing that the grand arc graph satisfies a bounded geodesic image theorem, we also prove that the boundary is not compact.

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