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Structure invariant properties of the hierarchically hyperbolic boundary

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arxiv 2208.07930 v2 pith:EDQLSW4E submitted 2022-08-16 math.GR math.GT

Carolyn Abbott , Jason Behrstock , Jacob Russell This is my paper · ORCID
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keywords boundaryhierarchicallyhyperbolicinvariantpropertiesstructureaccomplishedauthors
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We prove several topological and dynamical properties of the boundary of a hierarchically hyperbolic group are independent of the specific hierarchically hyperbolic structure. This is accomplished by proving that the boundary is invariant under a "maximization" procedure introduced by the first two authors and Durham.

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  1. The geometry of totally geodesic subvarieties of moduli spaces of Riemann surfaces

    math.GT 2024-12 conditional novelty 8.0 of 10

    Totally geodesic subvarieties of moduli space have semisimple Deligne-Mumford boundary and are hierarchically hyperbolic.

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