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 ...
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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; and, 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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Add this copy of Mirror Symmetry (Smf/Ams Texts and Monographs, Volume 1 to cart. $15.00, good condition, Sold by Book Bear rated 5.0 out of 5 stars, ships from West Brookfield, MA, UNITED STATES, published 1999 by American Mathemataical Society.
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Good. 8vo-over 7¾"-9¾" tall. 120 pp. Tightly bound. Spine not compromised. Text is free of markings. No ownership markings. NOTE: The lower corners of the cover and pages are bumped nit affecting the text.
Add this copy of Mirror Symmetry (Smf/Ams Texts and Monographs, V. 1) to cart. $56.35, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 1999 by American Mathemataical Society.
Add this copy of Mirror Symmetry (Smf/Ams Texts and Monographs, V. 1) to cart. $86.78, new condition, Sold by Just one more Chapter, ships from Miramar, FL, UNITED STATES, published 1999 by American Mathemataical Society.
Add this copy of Mirror Symmetry (Smf/Ams Texts and Monographs, V. 1) to cart. $89.92, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 1999 by American Mathemataical Society.
