Minimal atlases of closed symplectic manifolds
classification
🧮 math.SG
math.GT
keywords
closednumberomegasymplecticaboveatlasesbelowcategory
read the original 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 $(M,\omega)$.
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