Trends in Mathematics

B-Model Gromov-Witten Theory

Editors: Clader, Emily, Ruan, Yongbin (Eds.)

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  • 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
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eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-94220-9
  • Digitally watermarked, DRM-free
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  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-319-94219-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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 integrable systems.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-94220-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-319-94219-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
B-Model Gromov-Witten Theory
Editors
  • Emily Clader
  • Yongbin Ruan
Series Title
Trends in Mathematics
Copyright
2018
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-94220-9
DOI
10.1007/978-3-319-94220-9
Hardcover ISBN
978-3-319-94219-3
Series ISSN
2297-0215
Edition Number
1
Number of Pages
XIII, 625
Number of Illustrations
59 b/w illustrations, 6 illustrations in colour
Topics