English

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

Symplectic Geometry 2022-09-07 v1 Algebraic Topology

Abstract

We show that for any positive integer kk there exists a closed symplectic 44-manifold, such that the rank of the fundamental group of the group of Hamiltonian diffeomorphisms is at least k.k.

Keywords

Cite

@article{arxiv.2008.11085,
  title  = {On the rank of $\pi_1(\text{Ham})$},
  author = {Andrés Pedroza},
  journal= {arXiv preprint arXiv:2008.11085},
  year   = {2022}
}

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10 pages