EAN: 9783319942193

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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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21.03.2025 um 01:11 Uhr

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