39 citations · 126 across the 27 of their papers we have counts for
29 papers
Torsion in asymptotic cones of free groups
Jarek Kędra, Assaf Libman, Zipei Nie
We prove that the asymptotic cone of any non-abelian free group equipped with the bi-invariant word metric has elements of order 2.
On quasimorphisms and distortion in homeomorphism groups
Michael Brandenbursky, Jarek Kedra, Michal Marcinkowski +1
Let be a smooth compact oriented connected manifold, and the group of homeomorphisms of supported away from which preserve a Borel probab…
Are free groups of different ranks bi-invariantly quasi-isometric?
Jarek Kędra, Assaf Libman
We prove that a homomorphism between free groups of finite rank equipped with the bi-invariant word metrics is a quasi-isometry if and only if it is an isomorphism.
On the geometry and bounded cohomology of racks and quandles
Jarek Kędra
We introduce and investigate a natural family of metrics on connected components of a rack. The metrics are closely related to certain bi-invariant metrics on the group of inner au…
Directional asymptotic cones of groups equipped with bi-invariant metrics
Jarek Kędra, Assaf Libman
Given a bi-invariant metric on a group, we construct a version of an asymptotic cone without using ultrafilters. The new construction, called the directional asymptotic cone, is a…
Qualitative counting closed geodesics
Bastien Karlhofer, Jarek Kędra, Michał Marcinkowski +1
We investigate the geometry of word metrics on fundamental groups of manifolds associated with the generating sets consisting of elements represented by closed geodesics. We ask wh…