B-Model Gromov-Witten Theory
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 st...
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| Médium: | Elektronický zdroj E-kniha |
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| Jazyk: | angličtina |
| Vydáno: |
Cham :
Springer International Publishing,
2018.
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| Vydání: | 1st ed. 2018. |
| Edice: | Trends in Mathematics,
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| Témata: | |
| ISBN: | 9783319942209 |
| ISSN: | 2297-0215 |
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| Shrnutí: | 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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| Popis jednotky: | Mathematics and Statistics |
| Fyzický popis: | XIII, 625 p. 65 illus., 6 illus. in color. online resource. |
| ISBN: | 9783319942209 |
| ISSN: | 2297-0215 |