Winter school on mirror symmetry, vector bundles and Lagrangian submanifolds : proceedings of the winter school on mirror symmetry, January 1999, Harvard University, Cambridge, Massachusetts
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書誌事項
Winter school on mirror symmetry, vector bundles and Lagrangian submanifolds : proceedings of the winter school on mirror symmetry, January 1999, Harvard University, Cambridge, Massachusetts
（AMS/IP studies in advanced mathematics, v. 23）
American Mathematical Society : International Press, c2001
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注記
Includes bibliographical references
内容説明・目次
内容説明
The collection of articles in this volume are based on lectures presented during the Winter School on Mirror Symmetry held at Harvard University. There are many new directions suggested by mirror symmetry which could potentially have very rich connections in physics and mathematics. This book brings together the latest research in a major area of mathematical physics, including the recent progress in mirror manifolds and Lagrangian submanifolds. In particular, several articles describing homological approach and related topics are included. Other AMS titles edited by S.-T Yau published in the AMS/IP Studies in Advanced Mathematics series include, Mirror Symmetry III, Volume 10, Mirror symmetry II, Volume 1, and Mirror Symmetry I, Volume 9.
目次
Exceptional mirror symmetry by B. S. Acharya Floer homology and mirror symmetry I by K. Fukaya On the gauge theory/geometry correspondence by R. Gopakumar and C. Vafa Special Lagrangian fibrations I: Topology by M. Gross Special Lagrangian fibrations II: Geometry. A survey of techniques in the study of special Lagrangian fibrations by M. Gross Lectures on special Lagrangian submanifolds by N. Hitchin Local mirror symmetry at higher genus by A. Klemm and E. Zaslow From special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai transform by N. C. Leung, S.-T. Yau, and E. Zaslow $N = 1$ heterotic string vacua from mirror symmetry by P. Berglund and P. Mayr Homological mirror symmetry with higher products by A. Polishchuk Fukaya category and Fourier transform by D. Arinkin and A. Polishchuk Categorical mirror symmetry in the eliptic curve by A. Polishchuk and E. Zaslow Lagrangian torus fibration of quintic hypersurfaces I: Fermat quintic case by W.-D. Ruan Mirror symmetry is T-duality by A. Strominger, S.-T. Yau, and E. Zaslow Derived categories for the working mathematician by R. P. Thomas Mirror symmetry and actions of braid groups on derived categories by R. P. Thomas.
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