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arxiv: 2204.00550 · v1 · pith:O3XQXV2Mnew · submitted 2022-04-01 · 🧮 math.GT

The coarse geometry of hexagon decomposition graphs

classification 🧮 math.GT
keywords graphgraphshexagonquasi-isometricarcsassociatedcayleyclass
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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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