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Trends in Mathematics
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Trends in Mathematics
Clader, Emily; Ruan, Yongbin
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.
Details
Published by: Birkhäuser
Publication Date: 2019-04-18
Format: Hardcover
ISBN-13: 9783319942193
DOI: 10.1007/978-3-319-94220-9
Dimensions: 235cm x155cm
Pages: 625