Calabi-Yau submanifolds of Joyce manifolds of the first kind
         Akbulut and Salur suggested the study of Calabi-Yau submanifolds of G2 manifolds that come from a certain process. The author, in a joint paper with Akbulut and Salur, applied this process to a Joyce manifold, more specifically, to the Joyce manifold J(1/2,0,0,1/2,1/2), and obtained a pair of Borcea-Voisin 3-folds with Hodge numbers h1,1=h2,1=19.In this thesis, we first list all possible Joyce manifolds of the first kind. Then we describe the Calabi-Yau submanifolds of these manifolds that come from the process, we mentioned above, using the coordinate directions. This way we obtain two different Borcea-Voisin manifolds, as well as T2x K3 and T6.
    
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- In Collections
- 
    Electronic Theses & Dissertations
                    
 
- Copyright Status
- In Copyright
- Material Type
- 
    Theses
                    
 
- Authors
- 
    Efe, Bariş
                    
 
- Thesis Advisors
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    Akbulut, Selman
                    
 
- Committee Members
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    Finthushel, Ronald
                    
 Kulkarni, Rajesh
 Schmidt, Benjamin
 Wang, Xiaodong
 
- Date Published
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    2011
                    
 
- Program of Study
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    Mathematics
                    
 
- Degree Level
- 
    Doctoral
                    
 
- Language
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    English
                    
 
- Pages
- vi, 40 pages
- ISBN
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    9781124615219
                    
 1124615210
 
- Permalink
- https://doi.org/doi:10.25335/0mev-rx34