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arXiv · 2607.00957

Gromov boundary of the Grand Arc graph

Carolyn Abbott·Assaf Bar-Natan·Arya Vadnere
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Abstract

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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Carolyn Abbott, Assaf Bar-Natan, Arya Vadnere. 2026-07-01. Gromov boundary of the Grand Arc graph. https://arxiv.org/abs/2607.00957

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