Title: Calabi-Yau manifolds in weighted projective space
Abstract:Candelas et al. [1] made a partial classication of Calabi-Yau manifolds in WP4. An approximate symmetry was found in the collection of Calabi-Yau manifolds under the interchange of \chi and - \chi. Th...Candelas et al. [1] made a partial classication of Calabi-Yau manifolds in WP4. An approximate symmetry was found in the collection of Calabi-Yau manifolds under the interchange of \chi and - \chi. The goal of this thesis is to construct Calabi-Yau manifolds in this class and see if it is possible to extend the list made in[1]. Motivation behind this project is a symmetry of string theory called mirror symmetry that predicts a perfect symmetry in all Calabi-Yau manifolds when interchanging \chi and - \chi. We find a way to extend the results of[1] but also come to the conclusion that a complete classication of orbifolds in weighted projective space has already been made in[2],[4]. We will also discuss these results.Read More
Publication Year: 2014
Publication Date: 2014-03-18
Language: en
Type: article
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