The SFT Compactness Results

Casim Abbas
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Casim Abbas: Michigan State University, Department of Mathematics

Chapter Chapter 3 in An Introduction to Compactness Results in Symplectic Field Theory, 2014, pp 209-245 from Springer

Abstract: 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.

Keywords: Marked Point; Symplectic Manifold; Injectivity Radius; Holomorphic Curf; Pant Decomposition (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-31543-5_3

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DOI: 10.1007/978-3-642-31543-5_3

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