On Banyaga's conjecture on the group of symplectic homeomorphisms

TL;DR

This paper investigates Banyaga's conjecture that the group of strong symplectic homeomorphisms forms a proper normal subgroup within the larger symplectic homeomorphism group of a closed symplectic manifold.

Contribution

The paper provides analysis and insights into Banyaga's conjecture, exploring the subgroup structure of symplectic homeomorphisms.

Findings

Insights into the subgroup structure of symplectic homeomorphisms

Partial results supporting Banyaga's conjecture

Discussion on the properties of strong symplectic homeomorphisms

Abstract

This paper addresses Banyaga's conjecture asserting that : the group of strong symplectic homeomorphisms is a proper normal subgroup of the symplectic homeomorphism group of a closed symplectic manifold.