#### Volume 22, issue 3 (2022)

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On the rank of $\pi_1(\mathrm{Ham})$

### Andrés Pedroza

Algebraic & Geometric Topology 22 (2022) 1325–1336
##### 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 $k$.

##### Keywords
Hamiltonian group of diffeomorphisms, Weinstein functional
##### Mathematical Subject Classification
Primary: 53D35, 57S05