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Minimal atlases of closed symplectic manifolds

Yuli Rudyak·Felix Schlenk
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Abstract

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 $(M,ω)$.

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BibTeXRIS

Yuli Rudyak, Felix Schlenk. 2006-05-13. Minimal atlases of closed symplectic manifolds. https://arxiv.org/abs/math/0605350

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