02957nam 22005175 450 991032075350332120250328211048.09783319942209331994220410.1007/978-3-319-94220-9(CKB)4100000007881164(MiAaPQ)EBC5755059(DE-He213)978-3-319-94220-9(PPN)235668842(EXLCZ)99410000000788116420190408d2018 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierB-Model Gromov-Witten Theory /edited by Emily Clader, Yongbin Ruan1st ed. 2018.Cham :Springer International Publishing :Imprint: Birkhäuser,2018.1 online resource (635 pages)Trends in Mathematics,2297-024X9783319942193 3319942190 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.Trends in Mathematics,2297-024XGeometry, AlgebraicMathematical physicsAlgebraic GeometryMathematical PhysicsGeometry, Algebraic.Mathematical physics.Algebraic Geometry.Mathematical Physics.516.1Clader Emilyedthttp://id.loc.gov/vocabulary/relators/edtRuan Yongbinedthttp://id.loc.gov/vocabulary/relators/edtBOOK9910320753503321B-Model Gromov-Witten Theory1564667UNINA