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
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Electronic Theses & Dissertations
- Copyright Status
- In Copyright
- Material Type
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Theses
- Authors
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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
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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