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Inhaltsangabe
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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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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B-MODEL GROMOV-WITTEN THEORY.
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B-Model Gromov-Witten Theory (Trends in Mathematics)
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B-Model Gromov-Witten Theory
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ISBN 10: 3319942190
ISBN 13: 9783319942193
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B-Model Gromov-Witten Theory (Trends in Mathematics)
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B-Model Gromov-Witten Theory
Verlag:
Springer International Publishing, 2019
ISBN 10: 3319942190
ISBN 13: 9783319942193
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9783319942193
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B-Model Gromov-Witten Theory
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B-Model Gromov-Witten Theory
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