16.06.2018
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Mirror Symmetry [PDF]

by Claire Voisin
The English translation of Professor Voisin's book reflecting the discovery of the mirror symmetry phenomenon. The first chapter is devoted to the geometry of Calabi-Yau manifolds, and the second describes, as motivation, the ideas from quantum field theory that led to the discovery of mirror symmetry. The other chapters deal with more specialized aspects of the subject: the work of Candelas, de la Ossa, Greene, and Parkes, based on the fact that under the mirror symmetry hypothesis, the variation of Hodge structure of a Calabi-Yau threefold determines the Gromov-Witten invariants of its mirror; Batyrev's construction, which exhibits the mirror symmetry phenomenon between hypersurfaces of toric Fano varieties, after a combinatorial classification of the latter; the mathematical construction of the Gromov-Witten potential, and the proof of its crucial property (that it satisfies the WDVV equation), which makes it possible to construct a flat connection underlying a variation of Hodge structure in the Calabi-Yau case.
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Book info

Title
eBook formatHardcover, (torrent)En
Author
PublisherAMS Press
File size7.3 Mb
Release date 01.01.2000
ISBN9780821819470
Pages count120
Book rating0.7 (0 votes)
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1 comment

1. Persia Emily | 16.06.2018 17:33

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Thank you! Great book!

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