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Browsing Matematik by Subject "Homology theory."

Browsing Matematik by Subject "Homology theory."

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  • Bazı matris gruplarının kohomolojisi hakkında 
    Küsefoğlu, Ayşe. (Thesis (Assoc. Prof.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 1980., 1980.)
  • 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 ...
  • Combinatorial computation techniques for homology comordism invariants of plumbed 3-manifolds 
    Şavk, Oğuz. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2018., 2018.)
    We study some invariants of homology cobordism classes in dimension three. These invariants have their roots in gauge theory but are computable combinatori ally for plumbed 3-manifolds. We illustrate certain computation ...
  • Computation of grid homology 
    Taştan, Fulya. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2018., 2018.)
    In this thesis, the main aim is to study a combinatorial approach of knot Floer homology for a given knot K (or a link) in S3, called grid homology. We will define the bigrading structure on the chain complexes, and will ...
  • 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 ...

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