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Paper detail

On two remarkable groups of area-preserving homeomorphisms

We prove that on a symplectic sphere, the group of Hamiltonian homeomorphisms in the sense of Oh and Müller 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.

preprint2022arXivOpen access
Lev Buhovsky
math.SG
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Lev Buhovsky

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