Cerrahi ile reel kontak 3-manifoldlar
2018
0 views
0 downloads
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
Merve Cengiz
How to Cite
Merve Cengiz (Doctorate thesis). Cerrahi ile reel kontak 3-manifoldlar, 2018, Koç University.
Keywords
License
Tüm Hakları Saklıdır
This work is shared under the specified license terms.
More theses from Koç University
- Obje tabanlı akıl danışma-tavsiye iletişimi tasarımına ilham kaynağı olarak Türk kahve falı(2017)
- State-building in multi-ethnic borderlands: Nationalizing Eastern Anatolia and Transylvania in interwar Turkey and Romania(2021)
- Cross-cultural and artistic dialogues in the seventeenth century constantinople/istanbul: The Iconography of Madonna della Misericordia and the Galata Icon(2024)
- Ekom-Eczacıbaşı'nın Rusya piyasasındaki pazarlama stratejileri(1995)
- Barok döneminde Balkanlar Osmanlı Avrupası'nda mimaride, dekorasyonda, himaye ve kültürel üretim modellerinde dönüşüm, 1718-1856(2006)
- De Rham-Witt kompleks(2011)
