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Branched Covers of Hyperbolic Groups

math.GR · 2026-06-16 · unverdicted · novelty 7.0

Branched covers of hyperbolic groups along quasiconvex subgroups are defined and realized through deep Dehn fillings, generalizing 3-manifold constructions and potentially producing spherical-boundary examples.

Cellular waists of hyperbolic spaces

math.GT · 2026-06-11 · unverdicted · novelty 6.0

Hyperbolic manifolds with injectivity radius exceeding 50 log((n+1)!) have fibers of maps to R^m whose k-dimensional cells exceed n in number for any cell structure, when 0 < k < d-m.

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  • Branched Covers of Hyperbolic Groups math.GR · 2026-06-16 · unverdicted · none · ref 86

    Branched covers of hyperbolic groups along quasiconvex subgroups are defined and realized through deep Dehn fillings, generalizing 3-manifold constructions and potentially producing spherical-boundary examples.