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Titlebook: An Introduction to Compactness Results in Symplectic Field Theory; Casim Abbas Book 2014 Springer-Verlag Berlin Heidelberg 2014 Contact ho

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Pseudoholomorphic Curves, or without boundary in the symplectization of a contact manifold as in H. Hofer’s 1993 article and in papers by the author. The behavior near a puncture (boundary or interior) is discussed in detail. We also cover Gromov’s Isoperimetric inequality, Monotonicity Lemma and the theorem about removal o
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The SFT Compactness Results,ary in the symplectization of a contact manifold. We define holomorphic buildings and prove the corresponding compactness result with great attention to detail. We then introduce holomorphic buildings for curves with boundary and provide a compactness result. The cases of manifolds with cylindrical
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