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Editors contains: "Bai, Cheng-Ming"

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  1. ; ; ; (, Nankai Symposium on Mathematical Dialogues)
    He, Yang-Hui; Ge, Mo-Lin; Bai, Cheng-Ming; Bao, Jiakang; Hirst, Edward (Ed.)
    We provide an overview of recent work which aims to understand patterns of vanishing Yukawa couplings that arise in models of particle physics derived from string theory. These patterns are seemingly linked to a plethora of different geometrical structures and our understanding of the subject has yet to be consolidated in a unified framework. This short note is based upon a talk that was given by one of the authors at the Nankai Symposium on Mathematical Dialogues. Therefore it is aimed at a mathematical audience of mixed academic background. 
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    Accepted Manuscript Full Text Available
  2. ; ; ; ; (, Nankai Symposium on Mathematical Dialogues)
    He, Yang-Hui; Ge, Mo-Lin; Bai, Cheng-Ming; Bao Jiakang; Hirst, Edward (Ed.)
    Vector bundle cohomology represents a key ingredient for string phenomenology, being associated with the massless spectrum arising in string compactifications on smooth compact manifolds. Although standard algorithmic techniques exist for performing cohomology calculations, they are laborious and ill-suited for scanning over large sets of string compactifications to find those most relevant to particle physics. In this article we review some recent progress in deriving closed-form expressions for line bundle cohomology and discuss some applications to string phenomenology. 
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    Accepted Manuscript Full Text Available