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Displaying 61 – 80 of 99

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Open books on contact five-manifolds

Otto van Koert (2008)

Annales de l’institut Fourier

By using open book techniques we give an alternative proof of a theorem about the existence of contact structures on five-manifolds due to Geiges. The theorem asserts that simply-connected five-manifolds admit a contact structure in every homotopy class of almost contact structures.

Rational symplectic field theory over 2 for exact Lagrangian cobordisms

Tobias Ekholm (2008)

Journal of the European Mathematical Society

We construct a version of rational Symplectic Field Theory for pairs ( X , L ) , where X is an exact symplectic manifold, where L X is an exact Lagrangian submanifold with components subdivided into k subsets, and where both X and L have cylindrical ends. The theory associates to ( X , L ) a -graded chain complex of vector spaces over 2 , filtered with k filtration levels. The corresponding k -level spectral sequence is invariant under deformations of ( X , L ) and has the following property: if ( X , L ) is obtained by joining a...

Stability of Tangential Locally Conformal Symplectic Forms

Cristian Ida (2014)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In this paper we firstly define a tangential Lichnerowicz cohomology on foliated manifolds. Next, we define tangential locally conformal symplectic forms on a foliated manifold and we formulate and prove some results concerning their stability.

Currently displaying 61 – 80 of 99