Cubical accessibility and bounds on curves on surfaces
Groups acting on CAT(0) spaces September 27, 2016 - September 30, 2016
Location: SLMath: Eisenbud Auditorium
CAT(0) space
negative curvature manifolds
hyperbolic manifold
Riemannian manifold
Haken manifold
codimension 1 geometry
group actions on trees
54C40 - Algebraic properties of function spaces in general topology [See also 46Exx]
01-11 - Research data for problems pertaining to history and biography
55R35 - Classifying spaces of groups and $H$H-spaces in algebraic topology
14615
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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14615
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