Cubical accessibility and bounds on curves on surfaces
Location: MSRI: Simons Auditorium
negative curvature manifolds
codimension 1 geometry
group actions on trees
We give a bound on the number of parallelism classes of orbits of hyperplanes in a CAT(0) cube complex which is built from tracks on a simplicial complex. We apply this bound to obtain acylindrical accessibility for actions on CAT(0) cube complexes and bounds on curves on surfaces. Joint work with Benjamin Beeker
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