19,581 research outputs found

    Hierarchical hyperbolicity of graphs of multicurves

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    We show that many graphs naturally associated to a connected, compact, orientable surface are hierarchically hyperbolic spaces in the sense of Behrstock, Hagen and Sisto. They also automatically have the coarse median property defined by Bowditch. Consequences for such graphs include a distance formula analogous to Masur and Minsky's distance formula for the mapping class group, an upper bound on the maximal dimension of quasiflats, and the existence of a quadratic isoperimetric inequality. The hierarchically hyperbolic structure also gives rise to a simple criterion for when such graphs are Gromov hyperbolic.Comment: 27 pages, 4 figures. Minor changes from previous version. Addition of appendix describing a hierarchically hyperbolic structure on the arc grap

    The Rush to Fit In

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    A week ago, I had been dead set on not rushing. I had heard the rumors and beliefs of my peers, that Greek life encouraged excessive drinking and partying, that hazing was still incredibly prevalent and demeaning, that Greek life worked only to discriminate and exclude members of the campus who refused to take part, promoted unfair gender roles, and encouraged pageantry and forced conversations between strangers. Still, the call of philanthropy, having a group of sisters, and finding a home on campus appealed to me. In the end, it felt like I was choosing between rushing with my friends or facing long weekends alone in my dorm room. So, that first morning, I grit my teeth, and went with it. [excerpt
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