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Cubical geometry in the polygonalisation complex

We introduce the polygonalisation complex of a surface, a cube complex whose vertices correspond to polygonalisations. This is a geometric model for the mapping class group and it is motivated by works of Harer, Mosher and Penner. Using properties of the flip graph, we show that the midcubes in the...

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Hauptverfasser: Bell, Mark C. (VerfasserIn) , Disarlo, Valentina (VerfasserIn) , Tang, Robert (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: July 2019
In: Mathematical proceedings of the Cambridge Philosophical Society
Year: 2019, Jahrgang: 167, Heft: 1, Pages: 1-22
ISSN:1469-8064
DOI:10.1017/S0305004118000130
Online-Zugang:Verlag, Volltext: https://doi.org/10.1017/S0305004118000130
Verlag: https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/cubical-geometry-in-the-polygonalisation-complex/329A12E1BAB737B5FD361ACC4A573D23
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Verfasserangaben:Mark C. Bell, Valentina Disarlo, Robert Tang

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