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Softcover ISBN:  9780821804001 
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Product Code:  PCMS/1.B 
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AMS Member Price:  $189.60 $144.80 
Softcover ISBN:  9780821804001 
Product Code:  PCMS/1 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9781470439002 
Product Code:  PCMS/1.E 
List Price:  $112.00 
MAA Member Price:  $100.80 
AMS Member Price:  $89.60 
Softcover ISBN:  9780821804001 
eBook ISBN:  9781470439002 
Product Code:  PCMS/1.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: 1; 1995; 459 ppMSC: Primary 58; 81; 70; 53; Secondary 16; 18; 22; 34; 35; 49
Exploring topics from classical and quantum mechanics and field theory, this book is based on lectures presented in the Graduate Summer School at the Regional Geometry Institute in Park City, Utah, in 1991. The chapter by Bryant treats Lie groups and symplectic geometry, examining not only the connection with mechanics but also the application to differential equations and the recent work of the Gromov school. Rabin's discussion of quantum mechanics and field theory is specifically aimed at mathematicians. Alvarez describes the application of supersymmetry to prove the AtiyahSinger index theorem, touching on ideas that also underlie more complicated applications of supersymmetry. Quinn's account of the topological quantum field theory captures the formal aspects of the path integral and shows how these ideas can influence branches of mathematics which at first glance may not seem connected. Presenting material at a level between that of textbooks and research papers, much of the book would provide excellent material for graduate courses. The book provides an entree into a field that promises to remain exciting and important for years to come.
Titles in this series are copublished with the Institute for Advanced Study/Park City Mathematics Institute.
ReadershipResearch mathematicians, graduate students in mathematics, and physicists.

Table of Contents

Chapters

Introduction

An introduction to Lie groups and symplectic geometry

Introduction to quantum field theory for mathematicians

Lectures on quantum mechanics and the index theorem

Lectures on axiomatic topological quantum field theory


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Exploring topics from classical and quantum mechanics and field theory, this book is based on lectures presented in the Graduate Summer School at the Regional Geometry Institute in Park City, Utah, in 1991. The chapter by Bryant treats Lie groups and symplectic geometry, examining not only the connection with mechanics but also the application to differential equations and the recent work of the Gromov school. Rabin's discussion of quantum mechanics and field theory is specifically aimed at mathematicians. Alvarez describes the application of supersymmetry to prove the AtiyahSinger index theorem, touching on ideas that also underlie more complicated applications of supersymmetry. Quinn's account of the topological quantum field theory captures the formal aspects of the path integral and shows how these ideas can influence branches of mathematics which at first glance may not seem connected. Presenting material at a level between that of textbooks and research papers, much of the book would provide excellent material for graduate courses. The book provides an entree into a field that promises to remain exciting and important for years to come.
Titles in this series are copublished with the Institute for Advanced Study/Park City Mathematics Institute.
Research mathematicians, graduate students in mathematics, and physicists.

Chapters

Introduction

An introduction to Lie groups and symplectic geometry

Introduction to quantum field theory for mathematicians

Lectures on quantum mechanics and the index theorem

Lectures on axiomatic topological quantum field theory