LEADER 02957nam 22005175 450 001 9910320753503321 005 20250328211048.0 010 $a9783319942209 010 $a3319942204 024 7 $a10.1007/978-3-319-94220-9 035 $a(CKB)4100000007881164 035 $a(MiAaPQ)EBC5755059 035 $a(DE-He213)978-3-319-94220-9 035 $a(PPN)235668842 035 $a(EXLCZ)994100000007881164 100 $a20190408d2018 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aB-Model Gromov-Witten Theory /$fedited by Emily Clader, Yongbin Ruan 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2018. 215 $a1 online resource (635 pages) 225 1 $aTrends in Mathematics,$x2297-024X 311 08$a9783319942193 311 08$a3319942190 327 $aMirror 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. 330 $aThis book collects various perspectives, contributed by both mathematicians and physicists, on the B-model and its role in mirror symmetry. Mirror symmetry is an active topic of research in both the mathematics and physics communities, but among mathematicians, the ?A-model? half of the story remains much better-understood than the B-model. This book aims to address that imbalance. It begins with an overview of several methods by which mirrors have been constructed, and from there, gives a thorough account of the ?BCOV? B-model theory from a physical perspective; this includes the appearance of such phenomena as the holomorphic anomaly equation and connections to number theory via modularity. Following a mathematical exposition of the subject of quantization, the remainder of the book is devoted to the B-model from a mathematician?s point-of-view, including such topics as polyvector fields and primitive forms, Givental?s ancestor potential, and integrable systems. 410 0$aTrends in Mathematics,$x2297-024X 606 $aGeometry, Algebraic 606 $aMathematical physics 606 $aAlgebraic Geometry 606 $aMathematical Physics 615 0$aGeometry, Algebraic. 615 0$aMathematical physics. 615 14$aAlgebraic Geometry. 615 24$aMathematical Physics. 676 $a516.1 702 $aClader$b Emily$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRuan$b Yongbin$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910320753503321 996 $aB-Model Gromov-Witten Theory$91564667 997 $aUNINA