Symplectic rigidity and weak commutativity

2011/01/24 by Vazzoler, S., Cardin, F.
#FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1101.4501

Abstract

An alternative proof of Eliashberg-Gromov's C⁰-rigidity theorem is presented and a new notion of weak Lie brackets for Hamiltonian vector fields is proposed and compared.

Related

• Strong C^*-rigidity of the Heisenberg groups
• C⁰-rigidity of characteristics in symplectic geometry
• Some quantitative results in C⁰ symplectic geometry
• C^*-rigidity of the Heisenberg group
• Gromov-Witten invariants and rigidity of Hamiltonian loops with compact support on noncompact symplectic manifolds