Cubical accessibility and bounds on curves on surfaces

Nir Lazarovich

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

https://www.msri.org/workshops/772/schedules/21417

MSRI- Groups acting on CAT(0) spaces