DoctorateOpen Access

Cerrahi ile reel kontak 3-manifoldlar

2018
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Advisor: Prof. Dr. Tolga Etgü ; Prof. Dr. Ferit Öztürk

Abstract (EN)

In this thesis, we study real contact 3-manifolds. A real 3-manifold is a smooth 3-manifold equipped with an orientation preserving involution with empty or 1-dimensional fixed point set. By a real contact manifold we mean a real manifold with an anti-symmetric contact structure. We prove that every real 3-manifold can be obtained from the standard real 3-sphere via equivariant surgeries and we give equivariant surgery descriptions for arbitrary real 3-manifolds. Then we define equivariant contact surgeries which allow one to extend the real contact structure to the surgered manifold. Via equivariant contact surgeries, we show that any real manifold admits a real contact structure. We give examples to illustrate how our algorithms for finding an equivariant (contact) surgery diagram work. We determine that certain contact structures are real, obtaining them via equivariant contact surgeries.

Author

Dr. Merve Cengiz

How to Cite

Merve Cengiz (Doctorate thesis). Cerrahi ile reel kontak 3-manifoldlar, 2018, Koç University.

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