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The SFT Compactness Results

In: An Introduction to Compactness Results in Symplectic Field Theory

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  • Casim Abbas

    (Michigan State University, Department of Mathematics)

Abstract

We start this chapter with the simplest SFT compactness result generalizing Gromov compactness. We consider punctured holomorphic curves without boundary 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 ends and symplectic manifolds obtained by splitting along a contact type hypersurface conclude the presentation.

Suggested Citation

  • Casim Abbas, 2014. "The SFT Compactness Results," Springer Books, in: An Introduction to Compactness Results in Symplectic Field Theory, edition 127, chapter 0, pages 209-245, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-31543-5_3
    DOI: 10.1007/978-3-642-31543-5_3
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