Minimal atlases of closed symplectic manifolds

2006/05/13 by Yuli B. Rudyak, Yuli Rudyak, Rudyak, Yuli +2
Mathematics · #53D35 #Advanced Algebra and Geometry #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.GT #math.SG #msc:53D35

paper · pdf · doi:10.48550/arxiv.math/0605350

43 pages, 21 figures

arxiv created 2006/05/13 · openalex publication_date 2006/05/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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).

Citations

• Symplectic torus bundles and group extensions

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