2 problems

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Fathi's Calabi extension conjecture for Hameomorphisms of the disc
Fathi's Calabi extension conjecture. The Calabi invariant admits an extension to $\Hameo(\Sigma,\omega)$ when $\Sigma$ is the disc.
Conjectureopencalabi-invariant hamiltonian-dynamics symplectic-geometryarXiv posted 2 days ago
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Vanishing conjecture for the extended Calabi invariant on contractible loops
Let $\lambda$ be a contractible topological Hamiltonian loop based at the identity, and let $\overline{\operatorname{Cal}}^{path}(\lambda)$ denote the extended Calabi invariant of…
Conjectureopencalabi-invariant hamiltonian-dynamics symplectic-topologyarXiv posted 2 days ago

Fathi's Calabi extension conjecture for Hameomorphisms of the disc