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B-Model Gromov-Witten Theory by Emily Clader at Abbey's Bookshop,
B-Model Gromov-Witten Theory
— —
Emily Clader Yongbin Ruan

B-Model Gromov-Witten Theory

Emily Clader,  Yongbin Ruan

$384.95   $307.85

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English
Birkhauser Verlag AG
18 April 2019
Algebraic geometry; Mathematical physics
Series: Trends in Mathematics
This 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.
Edited by:   ,
Imprint:   Birkhauser Verlag AG
Country of Publication:   Switzerland
Edition:   1st ed. 2018
Dimensions:   Height: 235mm,  Width: 155mm, 
Weight:   1.118kg
ISBN:   9783319942193
ISBN 10:   3319942190
Series:   Trends in Mathematics
Pages:   625
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Mirror 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.

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