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Mirror Symmetry

Mirror Symmetry - 1 edition

Mirror Symmetry (ISBN10: 082181947X; ISBN13: 9780821819470)
ISBN13: 978-0821819470
ISBN10: 082181947X
Edition/Copyright: 1
Cover: Paperback
Publisher: American Mathematical Society
Published: 08/23/1999
International: No

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Sequitur Books
Boonsboro, MD
Seller Rating: 4.56
Brand new. We distribute directly for the publisher. This is the English translation of Professor Voisin's book reflecting the discovery of the mirror symmetry phenomenon. The first chapter is devote ...show mored 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. The book concludes with the first "naive" Givental computation, which is a mysterious mathematical justification of the computation of Candelas, et al. ...show less
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Sequitur Books
Boonsboro, MD
Seller Rating: 4.56
Brand new. We distribute directly for the publisher. This is the English translation of Professor Voisin's book reflecting the discovery of the mirror symmetry phenomenon. The first chapter is devote ...show mored 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. The book concludes with the first "naive" Givental computation, which is a mysterious mathematical justification of the computation of Candelas, et al. ...show less
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Herb Tandree Philosophy Books
Stroud, Glos,
Seller Rating: 4.33
1999 Paperback NEAR FINE This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. *****PLEASE NOTE: This item is shipping from an authorize ...show mored seller in Europe. In the event that a return is necessary, you will be able to return your item within the US. To learn more about our European sellers and policies see the BookQuest FAQ section***** ...show less
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