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arXiv · 2008.11085

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

Andrés Pedroza
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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 $k.$

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Andrés Pedroza. 2020-08-25. On the rank of $\pi_1(\text{Ham})$. https://doi.org/10.2140/agt.2022.22.1325

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