Sharp quantitative nonembeddability of the Heisenberg group into superreflexive Banach spaces

Tim Austin, Assaf Naor, Romain Tessera

Let $\H$ denote the discrete Heisenberg group, equipped with a word metric $d_W$ associated to some finite symmetric generating set. We show that if $(X,\Vert \cdot \Vert )$ is a $p$-convex…