Harmonic cohomology classes of symplectic manifolds.

Olivier Mathieu

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On the number of components of the symplectic representatives of the canonical class

Stefano Vidussi (2007)

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We show that there exists a family of simply connected, symplectic 4-manifolds such that the (Poincaré dual of the) canonical class admits both connected and disconnected symplectic representatives. This answers a question raised by Fintushel and Stern.

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Yau, Donald (1999)

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Formal deformations of symplectic manifolds with boundary.

Ryszard Nest, Boris Tsygan (1996)

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Karl Friedrich Siburg (1993)

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Wojciech Domitrz (2008)

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We define a procedure of reduction of locally conformal symplectic structures. We find a necessary and sufficient condition for this reduction to hold in terms of a special kind of de Rham cohomology class (tangent to the characteristic foliation) of the Lee form.

Fundamental group of $Symp (M, ω)$ with no circle action

Jarek Kędra (2009)

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H. Hofer, Y. Eliashberg (1992)

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Symplectic structures on the tangent bundles of symplectic and cosymplectic manifolds

J. Kurek, W. M. Mikulski (2003)

Annales Polonici Mathematici

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We describe all natural symplectic structures on the tangent bundles of symplectic and cosymplectic manifolds.