On the rank of ${\pi }_1(\text{Ham})$

Abstract

We show that for any positive integer $k$ there exists a closed symplectic $4$-manifold, such that the rank of the fundamental group of the group of Hamiltonian diffeomorphisms is at least $k.$

10 pages

References in corpus (1)

• Compactly supported Hamiltonian loops with non zero Calabi invariant