Hardcover ISBN:  9780821834312 
Product Code:  PCMS/11 
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eBook ISBN:  9781470439101 
Product Code:  PCMS/11.E 
List Price:  $112.00 
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AMS Member Price:  $89.60 
Hardcover ISBN:  9780821834312 
eBook: ISBN:  9781470439101 
Product Code:  PCMS/11.B 
List Price:  $237.00 $181.00 
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AMS Member Price:  $189.60 $144.80 
Hardcover ISBN:  9780821834312 
Product Code:  PCMS/11 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9781470439101 
Product Code:  PCMS/11.E 
List Price:  $112.00 
MAA Member Price:  $100.80 
AMS Member Price:  $89.60 
Hardcover ISBN:  9780821834312 
eBook ISBN:  9781470439101 
Product Code:  PCMS/11.B 
List Price:  $237.00 $181.00 
MAA Member Price:  $213.30 $162.90 
AMS Member Price:  $189.60 $144.80 

Book DetailsIAS/Park City Mathematics SeriesVolume: 11; 2006; 285 ppMSC: Primary 81; 14; 83;
Each summer the IAS/Park City Mathematics Institute Graduate Summer School gathers some of the best researchers and educators in a particular field to present diverse sets of lectures. This volume presents three weeks of lectures given at the Summer School on Quantum Field Theory, Supersymmetry, and Enumerative Geometry, three very active research areas in mathematics and theoretical physics.
With this volume, the Park City Mathematics Institute returns to the general topic of the first institute: the interplay between quantum field theory and mathematics. Two major themes at this institute were supersymmetry and algebraic geometry, particularly enumerative geometry. The volume contains two lecture series on methods of enumerative geometry that have their roots in QFT. The first series covers the Schubert calculus and quantum cohomology. The second discusses methods from algebraic geometry for computing GromovWitten invariants. There are also three sets of lectures of a more introductory nature: an overview of classical field theory and supersymmetry, an introduction to supermanifolds, and an introduction to general relativity.
This volume is recommended for independent study and is suitable for graduate students and researchers interested in geometry and physics.ReadershipGraduate students and research mathematicians interested in enumerative geometry and mathematical physics.

Table of Contents

Chapters

Introduction

Enumerative geometry (with notes by Alastair Craw)

Computing GromovWitten invariants with algebraic geometry

Classical field theory and supersymmetry

Introduction to supermanifolds

Notes on introductory general relativity


Additional Material

Reviews

The book collects together some useful material for anybody hoping to better understand recent important ideas coming to mathematics from theoretical physics.
European Mathematical Society Newsletter


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Each summer the IAS/Park City Mathematics Institute Graduate Summer School gathers some of the best researchers and educators in a particular field to present diverse sets of lectures. This volume presents three weeks of lectures given at the Summer School on Quantum Field Theory, Supersymmetry, and Enumerative Geometry, three very active research areas in mathematics and theoretical physics.
With this volume, the Park City Mathematics Institute returns to the general topic of the first institute: the interplay between quantum field theory and mathematics. Two major themes at this institute were supersymmetry and algebraic geometry, particularly enumerative geometry. The volume contains two lecture series on methods of enumerative geometry that have their roots in QFT. The first series covers the Schubert calculus and quantum cohomology. The second discusses methods from algebraic geometry for computing GromovWitten invariants. There are also three sets of lectures of a more introductory nature: an overview of classical field theory and supersymmetry, an introduction to supermanifolds, and an introduction to general relativity.
This volume is recommended for independent study and is suitable for graduate students and researchers interested in geometry and physics.
Graduate students and research mathematicians interested in enumerative geometry and mathematical physics.

Chapters

Introduction

Enumerative geometry (with notes by Alastair Craw)

Computing GromovWitten invariants with algebraic geometry

Classical field theory and supersymmetry

Introduction to supermanifolds

Notes on introductory general relativity

The book collects together some useful material for anybody hoping to better understand recent important ideas coming to mathematics from theoretical physics.
European Mathematical Society Newsletter