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On the rank of $π_1(\text{Ham})$
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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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Publication details
- DOI
- 10.48550/arxiv.2008.11085
- OpenAlex
- W3082043297
- Document type
- preprint
- Language
- EN
- Source
- arXiv (Cornell University)
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