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B-Model Gromov-Witten theory

Clader, Emily.

B-Model Gromov-Witten theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	B-Model Gromov-Witten theoryedited by Emily Clader, Yongbin Ruan.
other author:	Clader, Emily.
Published:	Cham :Springer International Publishing :2018.
Description:	xiii, 625 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Gromov-Witten invariants.
Online resource:	https://doi.org/10.1007/978-3-319-94220-9
ISBN:	9783319942209$q(electronic bk.)

B-Model Gromov-Witten theory
B-Model Gromov-Witten theory[electronic resource] /edited by Emily Clader, Yongbin Ruan. - Cham :Springer International Publishing :2018. - xiii, 625 p. :ill. (some col.), digital ;24 cm. - Trends in mathematics,2297-0215. - Trends in mathematics..

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.

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.

ISBN: 9783319942209$q(electronic bk.)

Standard No.: 10.1007/978-3-319-94220-9doiSubjects--Topical Terms:

827644
Gromov-Witten invariants.

LC Class. No.: QA665 / .B563 2018

Dewey Class. No.: 516.36

B-Model Gromov-Witten theory
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505 0 $a 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.
520 $a 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.
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700 1 $a Clader, Emily. $3 827643
700 1 $a Ruan, Yongbin. $3 324139
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