Mirror symmetry and Fano manifolds

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.

Bibliographic Details
Main Authors: Coates, Tom, Corti, Alessio, Galkin, Sergey, Golyshev, Vasily, Kasprzyk, Alexander M.
Format: Conference or Workshop Item
Published: European Mathematical Society 2013
Subjects:
Online Access:https://eprints.nottingham.ac.uk/30729/
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author Coates, Tom
Corti, Alessio
Galkin, Sergey
Golyshev, Vasily
Kasprzyk, Alexander M.
author_facet Coates, Tom
Corti, Alessio
Galkin, Sergey
Golyshev, Vasily
Kasprzyk, Alexander M.
author_sort Coates, Tom
building Nottingham Research Data Repository
collection Online Access
description 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.
first_indexed 2025-11-14T19:09:58Z
format Conference or Workshop Item
id nottingham-30729
institution University of Nottingham Malaysia Campus
institution_category Local University
last_indexed 2025-11-14T19:09:58Z
publishDate 2013
publisher European Mathematical Society
recordtype eprints
repository_type Digital Repository
spelling nottingham-307292020-05-04T20:19:56Z https://eprints.nottingham.ac.uk/30729/ Mirror symmetry and Fano manifolds Coates, Tom Corti, Alessio Galkin, Sergey Golyshev, Vasily Kasprzyk, Alexander M. 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. European Mathematical Society 2013 Conference or Workshop Item PeerReviewed Coates, Tom, Corti, Alessio, Galkin, Sergey, Golyshev, Vasily and Kasprzyk, Alexander M. (2013) Mirror symmetry and Fano manifolds. In: 6th European Congress of Mathematics, 2-7 July 2012, Krakow, Poland. Fano manifolds mirror symmetry variations of Hodge structure Landau–Ginzburg models http://www.ems-ph.org/books/show_abstract.php?proj_nr=170&vol=1&rank=16
spellingShingle Fano manifolds
mirror symmetry
variations of Hodge structure
Landau–Ginzburg models
Coates, Tom
Corti, Alessio
Galkin, Sergey
Golyshev, Vasily
Kasprzyk, Alexander M.
Mirror symmetry and Fano manifolds
title Mirror symmetry and Fano manifolds
title_full Mirror symmetry and Fano manifolds
title_fullStr Mirror symmetry and Fano manifolds
title_full_unstemmed Mirror symmetry and Fano manifolds
title_short Mirror symmetry and Fano manifolds
title_sort mirror symmetry and fano manifolds
topic Fano manifolds
mirror symmetry
variations of Hodge structure
Landau–Ginzburg models
url https://eprints.nottingham.ac.uk/30729/
https://eprints.nottingham.ac.uk/30729/