@article{875967e4b33644b5b6f87a0348f6f5a1,
title = "On Two Remarkable Groups of Area-Preserving Homeomorphisms",
abstract = "We prove that on a symplectic sphere, the group of Hamiltonian homeomorphisms in the sense of Oh and M{\"u}ller 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.",
keywords = "Fathi conjecture, Hamiltonian homeomorphisms, Hofer metric, spectral invariants",
author = "Lev Buhovsky",
note = "Publisher Copyright: {\textcopyright} Lev Buhovsky, 2023.",
year = "2023",
language = "אנגלית",
volume = "19",
pages = "339--373",
journal = "Journal of Mathematical Physics, Analysis, Geometry",
issn = "1812-9471",
publisher = "ILTPE-B. Verkin Institute for Low Temperature Physics and Engineering",
number = "2",
}