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Geometry and Quantum Field Theory
 
Edited by: Daniel S. Freed University of Texas at Austin
Karen K. Uhlenbeck University of Texas at Austin
A co-publication of the AMS and IAS/Park City Mathematics Institute
Geometry and Quantum Field Theory
Softcover ISBN:  978-0-8218-0400-1
Product Code:  PCMS/1
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-1-4704-3900-2
Product Code:  PCMS/1.E
List Price: $112.00
MAA Member Price: $100.80
AMS Member Price: $89.60
Softcover ISBN:  978-0-8218-0400-1
eBook: ISBN:  978-1-4704-3900-2
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
Geometry and Quantum Field Theory
Click above image for expanded view
Geometry and Quantum Field Theory
Edited by: Daniel S. Freed University of Texas at Austin
Karen K. Uhlenbeck University of Texas at Austin
A co-publication of the AMS and IAS/Park City Mathematics Institute
Softcover ISBN:  978-0-8218-0400-1
Product Code:  PCMS/1
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-1-4704-3900-2
Product Code:  PCMS/1.E
List Price: $112.00
MAA Member Price: $100.80
AMS Member Price: $89.60
Softcover ISBN:  978-0-8218-0400-1
eBook ISBN:  978-1-4704-3900-2
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 Details
     
     
    IAS/Park City Mathematics Series
    Volume: 11995; 459 pp
    MSC: 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 Atiyah-Singer 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 co-published with the Institute for Advanced Study/Park City Mathematics Institute.

    Readership

    Research 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 11995; 459 pp
MSC: 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 Atiyah-Singer 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 co-published with the Institute for Advanced Study/Park City Mathematics Institute.

Readership

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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.