Mirror symmetry and Fano manifolds

Coates, Tom; Corti, Alessio; Galkin, Sergey; Golyshev, Vasily; Kasprzyk, Alexander M.

Abstract

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.

Citation

Coates, T., Corti, A., Galkin, S., Golyshev, V., & Kasprzyk, A. M. (2013). Mirror symmetry and Fano manifolds.

• Conference Name: 6th European Congress of Mathematics
• End Date: Jul 7, 2012
• Publication Date: Jan 1, 2013
• Deposit Date: Nov 12, 2015
• Publicly Available Date: Nov 12, 2015
• Publisher: European Mathematical Society
• Peer Reviewed: Peer Reviewed
• Keywords: Fano manifolds, mirror symmetry, variations of Hodge structure, Landau–Ginzburg models
• Public URL: https://nottingham-repository.worktribe.com/output/1003710
• Publisher URL: http://www.ems-ph.org/books/show_abstract.php?proj_nr=170&vol=1&rank=16
• Related Public URLs: http://www.ems-ph.org/books/book_series.php; http://www.6ecm.pl/
• Additional Information: Coates, T. [et al.], "Mirror symmetry and Fano manifolds" in: European Congress of Mathematics, Kraków, 2-7 July, 2012, Rafal Latala ... [et al.], editors. Zurich, European Mathematical Society, 2013. ISBN 9783037191200. DOI: 10.4171/120. Paper DOI: 10.4171/120-1/16.