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B-Model Gromov-Witten Theory

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	B-Model Gromov-Witten Theory/ edited by Emily Clader, Yongbin Ruan.
其他作者:	Clader, Emily.
面頁冊數:	XIII, 625 p. 65 illus., 6 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Algebraic geometry. -
電子資源:	https://doi.org/10.1007/978-3-319-94220-9
ISBN:	9783319942209

B-Model Gromov-Witten Theory
B-Model Gromov-Witten Theory[electronic resource] /edited by Emily Clader, Yongbin Ruan. - 1st ed. 2018. - XIII, 625 p. 65 illus., 6 illus. in color.online resource. - Trends in Mathematics,2297-0215. - Trends in Mathematics,.

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.

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.

ISBN: 9783319942209

Standard No.: 10.1007/978-3-319-94220-9doiSubjects--Topical Terms:

1255324
Algebraic geometry.

LC Class. No.: QA564-609

Dewey Class. No.: 516.35

B-Model Gromov-Witten Theory
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