Mirror symmetry and Fano manifolds

@article{Coates2014MirrorSA,
  title={Mirror symmetry and Fano manifolds},
  author={T. Coates and A. Corti and Sergey Galkin and V. Golyshev and Alexander Kasprzyk},
  journal={arXiv: Algebraic Geometry},
  year={2014},
  pages={285-300}
}
  • T. Coates, A. Corti, +2 authors Alexander Kasprzyk
  • Published 2014
  • Mathematics
  • arXiv: Algebraic Geometry
  • We consider mirror symmetry for Fano manifolds, and describe how one can recover the classification of 3-dimensional Fano manifolds from the study of their mirrors. We sketch a program to classify 4-dimensional Fano manifolds using these ideas. 
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    Gamma classes and quantum cohomology of Fano manifolds: Gamma conjectures
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    Quantum Periods for Certain Four-Dimensional Fano Manifolds
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    The Geometry of Landau-Ginzburg Models
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    Lagrangian torus fibration models of Fano threefolds
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    GAMMA CONJECTURE VIA MIRROR SYMMETRY
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    Minimality and mutation-equivalence of polygons
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