English

Minimal atlases of closed symplectic manifolds

Symplectic Geometry 2007-05-23 v1 Geometric Topology

Abstract

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

Keywords

Cite

@article{arxiv.math/0605350,
  title  = {Minimal atlases of closed symplectic manifolds},
  author = {Yuli Rudyak and Felix Schlenk},
  journal= {arXiv preprint arXiv:math/0605350},
  year   = {2007}
}

Comments

43 pages, 21 figures