H. Alizadeh

collaborators

2 papers

math.SG2023

Hamiltonian fragmentation in dimension four with application to spectral estimators

Habib Alizadeh

We prove a new Hamiltonian extension and consequently a fragmentation result in dimension $4$ for the symplectic manifold $D^{2} \times D^{2}$ . Polterovich and She…

math.SG2022

On the group of $ω^{k}$ -preserving diffeomorphisms

Habib Alizadeh

We show that if a diffeomorphism of a symplectic manifold $(M^{2 n}, ω)$ preserves the form $ω^{k}$ for $0 < k < n$ and is connected to identity through such diffeomorphisms then it…

Hamiltonian fragmentation in dimension four with application to spectral estimators

On the group of ωk-preserving diffeomorphisms

On the group of $ω^{k}$ -preserving diffeomorphisms