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Browsing Matematik by Author "Öztürk, Ferit."

Browsing Matematik by Author "Öztürk, Ferit."

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  • Algebraic overtwised contact structures on 3-sphere 
    Karadereli, Şeyma. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2020., 2020.)
    It is known that all of the complex analytic singularity links and the associated Milnor open books on the 3-sphere correspond to a single contact structure, which is the unique tight structure of the 3-sphere. The main ...
  • Cohomology groups of mapping class groups 
    Kara, Yasemin. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2006., 2006.)
    The mapping class group of an orientable surface of genus g is the group of all orientation preserving piecewise linear homeomorphisms of the surface up to isotopy. In this thesis it is shown that the mapping class group ...
  • Correspondence theoren in tropical geometry 
    Çineli, Sami Erman. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    Tropical varieties are piecewise linear co-dimension 1 subsets of Rn. For 1- dimensional tropical varieties, we will de ne an enumerative problem analogous to the classical enumerative problem in (C )2, which counts curves ...
  • Denseness of morse-smale systems on surfaces 
    Özsarfati, Metin. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2011., 2011.)
    Let M be a compact, connected 2-manifold without boundary. Morse-Smale fields are known to be dense in the space of all Cr vector elds on M when M is oriented or is one of RP2, Klein bottle or torus with a cross cap. In ...
  • First steps into heegard floer homology 
    Özlem, Semih. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2008., 2008.)
    Heegard Floer homology is a topological invariant for closed 3-manifolds equipped with a spinc-structure. Construction of Heegard Floer homology in the case when first Betti number is 0 is explained. The tools required in ...
  • Indices of orbits in contact homology 
    Gören, Yusuf. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2010., 2010.)
    In this thesis, we investigate the basics of the contact homology including the grading of periodic orbits and pseudoholomorphic curves. We also present the alternative approach to the subject by F. Bourgeois [1] and present ...
  • Milnor open books and milnor fillable contact structures 
    Cengiz, Mustafa. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2014., 2014.)
    It was proven by Caubel, N emethi, Popescu-Pampu [1] in 2004 that any 3- dimensional Milnor llable manifold inherits a unique contact structure from any of its llings up to contactomorphism. The proof runs as follows: ...
  • Proof of the weinstein conjecture for overtwisted closed contact 3-manifolds 
    Sağlam, Murat. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2007., 2007.)
    In this thesis, we study the proof of the Weinstein conjecture for 3-dimensional closed manifolds equipped with an overtwisted contact structure. The method of filling by pseudoholomorphic disks and the bubbling-off analysis ...
  • Pseudo-Anosov diffeomorphisms and the monodromy of an open book 
    Eden, Sinan. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2011., 2011.)
    In this thesis, we study the proof of the fact that any mapping class on a compact oriented surface with non-empty boundary can be made pseudo-Anosov after a sequence of positive stabilizations. In the language of contact ...

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