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Pseudoholomorphic curves in symplectic and contact geometry and their application in dynamics

Posted on:2015-04-15Degree:Ph.DType:Dissertation
University:Purdue UniversityCandidate:Fuchs, UrsFull Text:PDF
GTID:1478390020450011Subject:Mathematics
Abstract/Summary:
We prove Gromov compactness results for pseudoholomorphic curves (with boundary) following Gromov's original paper by using doublings of the pseudoholomorphic curves. In addition, we prove an SFT-compactness result for pseudoholomorphic curves in a cylindrical almost complex manifold by using a method introduced by Cieliebak-Mohnke.
Keywords/Search Tags:Pseudoholomorphic curves
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