Overview
- Attempts to close the gap between the mathematical community’s understanding of the B model and the A model
- Brings together mathematical and physical perspectives in one reference, providing a unique opportunity for the two communities to learn from one another
- Provides an overview of several methods by which mirrors have been constructed
- Details the “BCOV” B-model theory from a physical perspective
Part of the book series: Trends in Mathematics (TM)
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About this book
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.Similar content being viewed by others
Keywords
Table of contents (7 chapters)
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Front Matter
Editors and Affiliations
Bibliographic Information
Book Title: B-Model Gromov-Witten Theory
Editors: Emily Clader, Yongbin Ruan
Series Title: Trends in Mathematics
DOI: https://doi.org/10.1007/978-3-319-94220-9
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Hardcover ISBN: 978-3-319-94219-3Published: 18 April 2019
eBook ISBN: 978-3-319-94220-9Published: 08 April 2019
Series ISSN: 2297-0215
Series E-ISSN: 2297-024X
Edition Number: 1
Number of Pages: XIII, 625
Number of Illustrations: 59 b/w illustrations, 6 illustrations in colour
Topics: Algebraic Geometry, Mathematical Physics