Quasi-isometry type of the metric space derived from the kernel of the Calabi homomorphism

Abstract

We prove that the set of symmetrized conjugacy classes of the kernel of the Calabi homomorphism on the group of area-preserving diffeomorphisms of the $2$-disk is not quasi-isometric to the half line.

7pages, to appear in J. Symplectic Geom

References in corpus (1)

• On non-uniformly simple groups