**IAS/Park City Mathematics Series**

Volume: 11;
2006;
285 pp;
Hardcover

MSC: Primary 81; 14; 83;

**Print ISBN: 978-0-8218-3431-2
Product Code: PCMS/11**

List Price: $65.00

AMS Member Price: $52.00

MAA Member Price: $58.50

**Electronic ISBN: 978-1-4704-3910-1
Product Code: PCMS/11.E**

List Price: $61.00

AMS Member Price: $48.80

MAA Member Price: $54.90

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# Quantum Field Theory, Supersymmetry, and Enumerative Geometry

Share this page *Edited by *
*Daniel S. Freed; David R. Morrison; Isadore Singer*

A co-publication of the AMS and IAS/Park City Mathematics Institute

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 Gromov-Witten 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.

Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute.

#### Readership

Graduate students and research mathematicians interested in enumerative geometry and mathematical physics.

#### Reviews & Endorsements

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

# Table of Contents

## Quantum Field Theory, Supersymmetry, and Enumerative Geometry

- Cover Cover11
- Title page iii4
- Contents v6
- Preface vii8
- Introduction 110
- Enumerative geometry (with notes by Alastair Craw) 514
- Computing Gromov-Witten invariants with algebraic geometry 3140
- Classical field theory and supersymmetry 6170
- Introduction to supermanifolds 163172
- Notes on introductory general relativity 183192
- Back Cover Back Cover1297