The coarse geometry of hexagon decomposition graphs

Published 1 Apr 2022 in math.GT | (2204.00550v1)

Abstract: We define and study graphs associated to hexagon decompositions of surfaces by curves and arcs. One of the variants is shown to be quasi-isometric to the pants graph, whereas the other variant is quasi-isometric to (a Cayley graph of) the mapping class group.

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