B-Model Gromov-Witten Theory

Emily Clader, Yongbin Ruan (Herausgeber)

Buch | Hardcover

XIII, 625 Seiten

2019 | 1st ed. 2018
Springer International Publishing (Verlag)
978-3-319-94219-3 (ISBN)

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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.

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.

Erscheinungsdatum	30.11.2018
Reihe/Serie	Trends in Mathematics
Zusatzinfo	XIII, 625 p. 65 illus., 6 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	1118 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Themenwelt	Naturwissenschaften ► Physik / Astronomie
Schlagworte	Givental's ancestor potential • Givental’s ancestor potential • holomorphic anomaly equation • Integrable Systems • mirror symmetry • Modularity • polyvector fields • primitive forms • Quantization • singularity theory
ISBN-10	3-319-94219-0 / 3319942190
ISBN-13	978-3-319-94219-3 / 9783319942193
Zustand	Neuware