Minimal atlases of closed symplectic manifolds

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We study the number of Darboux charts needed to cover a closed connected symplectic manifold $(M,ω)$, and effectively estimate this number from below and from above in terms of the Lusternik--Schnirelmann category of $M$ and the Gromov width of $(M,ω)$.
43 pages, 21 figures

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Symplectic Geometry, Geometric Topology, 53D35

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http://salesiana.dossiersoluciones.com/handle/123456789/112772

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605350
 http://arxiv.org/abs/math/0605350

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arXiv