9780821819470-082181947X-Mirror Symmetry (Smf/Ams Texts and Monographs, V. 1)

Mirror Symmetry (Smf/Ams Texts and Monographs, V. 1)

ISBN-13: 9780821819470
ISBN-10: 082181947X
Author: Claire Voisin
Publication date: 1999
Publisher: American Mathemataical Society
Format: Paperback 120 pages
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Book details

ISBN-13: 9780821819470
ISBN-10: 082181947X
Author: Claire Voisin
Publication date: 1999
Publisher: American Mathemataical Society
Format: Paperback 120 pages

Summary

Mirror Symmetry (Smf/Ams Texts and Monographs, V. 1) (ISBN-13: 9780821819470 and ISBN-10: 082181947X), written by authors Claire Voisin, was published by American Mathemataical Society in 1999. With an overall rating of 4.5 stars, it's a notable title among other Mathematics (Quantum Theory, Physics) books. You can easily purchase or rent Mirror Symmetry (Smf/Ams Texts and Monographs, V. 1) (Paperback) from BooksRun, along with many other new and used Mathematics books and textbooks. And, if you're looking to sell your copy, our current buyback offer is $0.3.

Description

This is 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. The book concludes with the first "naive" Givental computation, which is a mysterious mathematical justification of the computation of Candelas, et al.
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