English

A short proof that the $L^p$-diameter of $Diff_0(S,area)$ is infinite

Dynamical Systems 2023-05-17 v3 Group Theory Geometric Topology Symplectic Geometry

Abstract

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

Keywords

Cite

@article{arxiv.2010.03000,
  title  = {A short proof that the $L^p$-diameter of $Diff_0(S,area)$ is infinite},
  author = {Michał Marcinkowski},
  journal= {arXiv preprint arXiv:2010.03000},
  year   = {2023}
}

Comments

To appear in Algebraic & Geometric Topology