What is it about?
The group of strong Symplectic homeomorphisms is a quite generalization of the identity component in the group of symplectomorphisms of a closed symplectic manifold: A generalization of the group of all Hamiltonian homeomorphisms.
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Why is it important?
This group Is a good candidate which can be used to study Symplectic dynamics in a ‘’large scale point of view ‘’ ( one can address the question of study flux geometry for ‘’ continuous’’ paths here, and study the properties of Hamiltonian diffeomorphisms that are transfered to Hameomorphisms under the $C^0-$symplectic topology.
Perspectives
Firther understand some aspects of Symplectic rigidity and Symplectic flexibility.
Stéphane Tchuiaga
University of Buea
Read the Original
This page is a summary of: The group of strong symplectic homeomorphisms in the L∞-metric, Advances in Geometry, January 2014, De Gruyter,
DOI: 10.1515/advgeom-2013-0041.
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