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Softcover ISBN:  9780821821596 
Product Code:  AMSIP/23 
List Price:  $58.00 
MAA Member Price:  $52.20 
AMS Member Price:  $46.40 
eBook ISBN:  9781470438135 
Product Code:  AMSIP/23.E 
List Price:  $54.00 
MAA Member Price:  $48.60 
AMS Member Price:  $43.20 
Softcover ISBN:  9780821821596 
eBook ISBN:  9781470438135 
Product Code:  AMSIP/23.B 
List Price:  $112.00 $85.00 
MAA Member Price:  $100.80 $76.50 
AMS Member Price:  $89.60 $68.00 

Book DetailsAMS/IP Studies in Advanced MathematicsVolume: 23; 2001; 377 ppMSC: Primary 14; 32; 81; 53
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 of Boston, Inc., Cambridge, MA.
ReadershipGraduate students and research mathematicians interested in algebraic geometry and its applications in mathematical physics.

Table of Contents

Chapters

Exceptional mirror symmetry

Floer homology and mirror symmetry I

On the gauge theory/geometry correspondence

Special Lagrangian fibrations I: Topology

Special Lagrangian fibrations II: Geometry. A survey of techniques in the study of special Lagrangian fibrations

Lectures on special Lagrangian submanifolds

Local mirror symmetry at higher genus

From special Lagrangian to HermitianYangMills via FourierMukai transform

$N = 1$ heterotic string vacua from mirror symmetry

Homological mirror symmetry with higher products

Fukaya category and Fourier transform

Categorical mirror symmetry in the elliptic curve

Lagrangian torus fibration of quintic hypersurfaces I: Fermat quintic case

Mirror symmetry is Tduality

Derived categories for the working mathematician

Mirror symmetry and actions of braid groups on derived categories


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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 of Boston, Inc., Cambridge, MA.
Graduate students and research mathematicians interested in algebraic geometry and its applications in mathematical physics.

Chapters

Exceptional mirror symmetry

Floer homology and mirror symmetry I

On the gauge theory/geometry correspondence

Special Lagrangian fibrations I: Topology

Special Lagrangian fibrations II: Geometry. A survey of techniques in the study of special Lagrangian fibrations

Lectures on special Lagrangian submanifolds

Local mirror symmetry at higher genus

From special Lagrangian to HermitianYangMills via FourierMukai transform

$N = 1$ heterotic string vacua from mirror symmetry

Homological mirror symmetry with higher products

Fukaya category and Fourier transform

Categorical mirror symmetry in the elliptic curve

Lagrangian torus fibration of quintic hypersurfaces I: Fermat quintic case

Mirror symmetry is Tduality

Derived categories for the working mathematician

Mirror symmetry and actions of braid groups on derived categories