Communications in Contemporary Mathematics · 2007 · 12 citations · 32 references
Natural SciencesMathematicsGeometryDifferential GeometryDifferential TopologyGeometric TopologyLow-dimensional GeometryLow-dimensional TopologySymplectic GeometryDarboux TheoremDarboux TransformationsLusternik-schnirelmann CategorySymplectic FormsSymplectic Spaces
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).
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Pseudo holomorphic curves in symplectic manifolds
M. Gromov · Inventiones mathematicae · 1985 · 2.1K citations
Natural Sciences, Anatomy, Geodesy +10
A New Construction of Symplectic Manifolds
Robert E. Gompf · Annals of Mathematics · 1995 · 608 citations