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OverviewThis graduate level text covers an exciting and active area of research at the crossroads of several different fields in Mathematics and Physics. In Mathematics it involves Differential Geometry, Complex Algebraic Geometry, Symplectic Geometry, and in Physics String Theory and Mirror Symmetry. Drawing extensively on the author's previous work, the text explains the advanced mathematics involved simply and clearly to both mathematicians and physicists. Starting with the basic geometry of connections, curvature, complex and Kähler structures suitable for beginning graduate students, the text covers seminal results such as Yau's proof of the Calabi Conjecture, and takes the reader all the way to the frontiers of current research in calibrated geometry, giving many open problems. Full Product DetailsAuthor: Dominic D. Joyce (, University of Oxford)Publisher: Oxford University Press Imprint: Oxford University Press Volume: 12 Dimensions: Width: 15.70cm , Height: 1.70cm , Length: 23.20cm Weight: 0.461kg ISBN: 9780199215591ISBN 10: 0199215596 Pages: 320 Publication Date: 22 February 2007 Audience: College/higher education , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsPreface 1: Background material 2: Introduction to connections, curvature and holonomy groups 3: Riemannian holonomy groups 4: Calibrated geometry 5: Kähler manifolds 6: The Calabi Conjecture 7: Calabi-Yau manifolds 8: Special Lagrangian geometry 9: Mirror Symmetry and the SYZ Conjecture 10: Hyperkähler and quaternionic Kähler manifolds 11: The exceptional holonomy groups 12: Associative, coassociative and Cayley submanifolds References IndexReviewsAuthor InformationDominic Joyce came up to Oxford University in 1986 to read Mathematics. He held an EPSRC Advanced Research Fellowship from 2001-2006, was recently promoted to professor, and now leads a research group in Homological Mirror Symmetry. His main research areas so far have been compact manifolds with the exceptional holonomy groups G 2 and Spin(7), and special Lagrangian submanifolds, a kind of calibrated submanifold. He is married, with two daughters. Tab Content 6Author Website:Countries AvailableAll regions |
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