Yongbin Ruan: B-Model Gromov-Witten Theory

Cover: 9783319942193 | B-Model Gromov-Witten Theory | Yongbin Ruan (u. a.) | Buch | xiii

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Beschreibung

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.

Zusammenfassung

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

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2019
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xiii 625 S. 59 s/w Illustr. 6 farbige Illustr. 625 p. 65 illus. 6 illus. in color.
ISBN-13:	9783319942193
ISBN-10:	3319942190
Sprache:	Englisch
Herstellernummer:	978-3-319-94219-3
Einband:	Gebunden
Autor:	Clader, Emily Ruan, Yongbin
Redaktion:	Ruan, Yongbin Clader, Emily
Herausgeber:	Emily Clader/Yongbin Ruan
Auflage:	1st edition 2018
Hersteller:	Springer International Publishing
Verantwortliche Person für die EU:	Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße:	241 x 160 x 40 mm
Von/Mit:	Yongbin Ruan (u. a.)
Erscheinungsdatum:	18.04.2019
Gewicht:	1,115 kg

Artikel-ID: 113761940