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OverviewThis book collects various perspectives, contributed by both mathematicians and physicists, on the B-model and its role in mirror symmetry. Mirror symmetry is an active topic of research in both the mathematics and physics communities, but among mathematicians, the “A-model” half of the story remains much better-understood than the B-model. This book aims to address that imbalance. It begins with an overview of several methods by which mirrors have been constructed, and from there, gives a thorough account of the “BCOV” B-model theory from a physical perspective; this includes the appearance of such phenomena as the holomorphic anomaly equation and connections to number theory via modularity. Following a mathematical exposition of the subject of quantization, the remainder of the book is devoted to the B-model from a mathematician’s point-of-view, including such topics as polyvector fields and primitive forms, Givental’s ancestor potential, and integrablesystems. Full Product DetailsAuthor: Emily Clader , Yongbin RuanPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: 1st ed. 2018 Weight: 1.118kg ISBN: 9783319942193ISBN 10: 3319942190 Pages: 625 Publication Date: 18 April 2019 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsMirror symmetry constructions.- The B-model approach to topological string theory on Calabi-Yau n-folds.- Geometric quantizations with applications to Gromov-Witten theory.- Some classical/quantum aspects of Calabi-Yau moduli.- The total ancestor potential in singularity theory.- Lecture notes on bihamiltonian structures and their central invariants.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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