Cubical accessibility and bounds on curves on surfaces
Presenter
September 29, 2016
Keywords:
- CAT(0) space
- negative curvature manifolds
- hyperbolic manifold
- Riemannian manifold
- Haken manifold
- codimension 1 geometry
- group actions on trees
MSC:
- 57M60
- 57-xx
- 58-xx
- 58Dxx
- 58D05
- 58D19
- 32Q45
Abstract
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.