AMS/IP Studies in Advanced Mathematics 2001; 377 pp; softcover Volume: 23 ISBN10: 0821821598 ISBN13: 9780821821596 List Price: US$48 Member Price: US$38.40 Order Code: AMSIP/23
 The collection of articles in this volume are based on l ectures 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. Titles in this series are copublished with International Press, Cambridge, MA. Readership Graduate students and research mathematicians interested in algebraic geometry and its applications in mathematical physics. Table of Contents  B. S. Acharya  Exceptional mirror symmetry
 K. Fukaya  Floer homology and mirror symmetry I
 R. Gopakumar and C. Vafa  On the gauge theory/geometry correspondence
 M. Gross  Special Lagrangian fibrations I: Topology
 M. Gross  Special Lagrangian fibrations II: Geometry. A survey of techniques in the study of special Lagrangian fibrations
 N. Hitchin  Lectures on special Lagrangian submanifolds
 A. Klemm and E. Zaslow  Local mirror symmetry at higher genus
 N. C. Leung, S.T. Yau, and E. Zaslow  From special Lagrangian to HermitianYangMills via FourierMukai transform
 P. Berglund and P. Mayr  \(N = 1\) heterotic string vacua from mirror symmetry
 A. Polishchuk  Homological mirror symmetry with higher products
 D. Arinkin and A. Polishchuk  Fukaya category and Fourier transform
 A. Polishchuk and E. Zaslow  Categorical mirror symmetry in the eliptic curve
 W.D. Ruan  Lagrangian torus fibration of quintic hypersurfaces I: Fermat quintic case
 A. Strominger, S.T. Yau, and E. Zaslow  Mirror symmetry is Tduality
 R. P. Thomas  Derived categories for the working mathematician
 R. P. Thomas  Mirror symmetry and actions of braid groups on derived categories
