The coarse geometry of hexagon decomposition graphs

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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Publication Details

Journal
Canadian Journal of Mathematics
Published
2025-01-16
DOI
https://doi.org/10.4153/s0008414x24000853
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

The coarse geometry of hexagon decomposition graphs

Hugo Parlier, Funda Gültepe
Canadian Journal of Mathematics
Geometric and Algebraic Topology
article

The coarse geometry of hexagon decomposition graphs

Hugo Parlier, Funda Gültepe
article en

Abstract

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.

Canadian Journal of Mathematics
University of Luxembourg (LU), University of Toledo (US)
National Science Foundation, Agence Nationale de la Recherche
Openalex Percentile: Top 97%
Geometric and Algebraic Topology
DOIOpen Access PDFOpenAlex
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