Free Delivery Over $100
|
|
|||
|
||||
Overview"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." Full Product DetailsAuthor: Claire VoisinPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 1 Dimensions: Width: 18.40cm , Height: 0.90cm , Length: 26.00cm Weight: 0.269kg ISBN: 9780821819470ISBN 10: 082181947 Pages: 120 Publication Date: 30 August 1999 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: Awaiting stock  The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you. Table of Contents"Calabi-Yau manifolds ""Physical"" origin of the conjecture The work of Candelas-de la Ossa-Green-Parkes The work of Batyrev Quantum cohomology The Givental construction Bibliography."ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
