Minimal atlases of closed symplectic manifolds

Details Minimal atlases of closed symplectic manifolds Minimal atlases of closed symplectic manifolds

2006-05-13

arxiv.org/abs/math/0605350v1

Mathematics

Symplectic Geometry

43 pages, 21 figures

Scientific paper

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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