Strict hypbolisation and special cubulation

Abstract:

Gromov introduced some "hyperbolisation" procedures that turn a given polyhedron into a space of non-positive curvature. Charney and Davis developed a refined "strict hyperbolisation" procedure that outputs a space of strictly negative curvature. Their procedure has been used to construct new examples of manifolds and groups with negative curvature, and other prescribed features. We construct actions of the resulting groups on CAT(0) cube complexes. As an application, we obtain that they are virtually special, hence linear over the integers and residually finite.

This is joint work with J. Lafont.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( paper | slides )

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Geometry and topology online

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