رشته‌ها و هندسه: مجموعه مقالات مدرسه تابستانی مؤسسه ریاضیات کلی ۲۰۰۲ درباره رشته‌ها و هندسه، مؤسسه نیوتن، کمبریج

The Geometry Of String Therapy / Michael R. Douglas -- M Theory, G2-manifolds And Four Dimensional Physics / Bobby S. Acharya -- Conjectures In Kähler Geometry / Simon K. Donaldson -- Branes, Calibrations And Supergravity / Jerome P. Gauntlett -- M-theory On Manifolds With Exceptional Holonomy / Sergei Gukov -- Special Holonomy And Beyond / Nigel Hitchin -- Constructing Compact Manifolds With Exceptional Holonomy / Dominic Joyce -- From Fano Threefolds To Compact G2-manifolds / Alexei Kovalev -- An Introduction To Motivic Integration / Alastair Craw -- Representation Moduli Of The Mckay Quiver For Finite Abelian Subgroups Of Sl (3,c) / Akira Ishii -- Moduli Spaces Of Bundles Over Riemann Surfaces Ii / Carlo Madonna And Viacheslav V. Nikulin -- Contractions And Monodromy In Homological Mirror Symmetry / Balazs Szendroi -- Lectures On Supersymmetric Gauge Theory / Nick Dorey -- The Geometry Of A-branes / Anton Kapustin -- Low Energy D-brane Actions / Robert C. Myers. Michael Douglas, Jerome Gauntlett, Mark Gross, Editors. Includes Bibliographical References. In this Summer School of March and April 2002, mathematicians and physicists introduced principles of algebraic geometry and string theory and the relationship between the two. These proceedings include an article on the geometry of string theory by Douglas and papers examining the current interests of the lecturers, including such topics as manifolds of special holonomy, supergravity, supersymmetry, D-branes, the McKay correspondence and the Fourier-Mukai transform. A second volume, in the form of a monograph, will focus on mirror symmetry from the homological and SYZ points of view, derived categories, Dirichlet branes, topological strong theory, and more material on the McKay correspondence. Annotation 2004 Book News, Inc., Portland, OR (booknews.com) Contains selection of expository and research article by lecturers at the school. Highlights current interests of researchers working at the interface between string theory and algebraic supergravity, supersymmetry, D-branes, the McKay correspondence andFourer-Mukai transform