Minimal atlases of closed symplectic manifolds

Abstract

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

43 pages, 21 figures

References in corpus (1)

• Symplectic torus bundles and group extensions

Cited by in corpus (1)

• C^0-rigidity of Poisson brackets