On two remarkable groups of area-preserving homeomorphisms
Symplectic Geometry
2022-04-19 v1
Abstract
We prove that on a symplectic sphere, the group of Hamiltonian homeomorphisms in the sense of Oh and M\"uller is a proper normal subgroup of the group of finite energy Hamiltonian homeomorphisms. Moreover we detect infinite-dimensional flats inside the quotient of these groups endowed with the natural Hofer pseudo-metric.
Cite
@article{arxiv.2204.08020,
title = {On two remarkable groups of area-preserving homeomorphisms},
author = {Lev Buhovsky},
journal= {arXiv preprint arXiv:2204.08020},
year = {2022}
}