A short proof that the $L^p$-diameter of $Dif{f}_0(S,area)$ is infinite

Abstract

We give a short proof that the $L^p$-diameter of the group of area preserving diffeomorphisms isotopic to the identity of a compact surface is infinite.

To appear in Algebraic & Geometric Topology

References in corpus (2)

• Anti-trees and right-angled Artin subgroups of braid groups
• The $L^p$-diameter of the group of area-preserving diffeomorphisms of $S^2$