Aut-invariant quasimorphisms on groups

Abstract:

For a large class of groups, we exhibit an infinite-dimensional space of homogeneous quasi-morphisms that are invariant under the action of the automorphism group. This class includes non-elementary hyperbolic groups, infinitely-ended finitely generated groups, some relatively hyperbolic groups, and a class of graph products of groups that includes all right-angled Artin and Coxeter groups that are not virtually abelian.

This is joint work with Francesco Fournier-Facio.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( paper )

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Geometry and topology online

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