@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",

}