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Title: Nicely embedded curves in symplectic cobordisms
Author: Cioba, Alexandru
ISNI:       0000 0004 7429 1971
Awarding Body: UCL (University College London)
Current Institution: University College London (University of London)
Date of Award: 2018
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In the following text we investigate the properties of moduli spaces of so-called “nicely embedded” curves in Liouville symplectic cobordisms. We exhibit a topological obstruction which occurs in contact manifolds cobordant to the tight 3- sphere, namely the presence of an unknotted Reeb orbit, with self-linking number 1. The same result is shown to apply in overtwisted manifolds. A similar proof establishes the result in reducible contact manifolds. Along the way we recall several classical results, and prove a series of auxiliary lemmas. Throughout most of the work we limit ourselves to the context of 4-dimensional cobordisms, where intersection theory for pseudoholomorphic curves is an indispensable tool.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available