The geometry and physics of knots

Author(s)

• Atiyah, Michael Francis

Bibliographic Information

The geometry and physics of knots

Michael Atiyah

（Lezioni Lincee）

Cambridge University Press, 1990

• : hard
• : pbk

Note

Bibliography: p. [73]-75

Includes index

Description and Table of Contents

Description

These notes arise from lectures presented in Florence under the auspices of the Accadamia dei Lincee and deal with an area that lies at the crossroads of mathematics and physics. The material presented here rests primarily on the pioneering work of Vaughan Jones and Edward Witten relating polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions. Professor Atiyah here presents an introduction to Witten's ideas from the mathematical point of view. The book will be essential reading for all geometers and gauge theorists as an exposition of new and interesting ideas in a rapidly developing area.

Table of Contents

• Preface
• 1. History and background
• 2. Topological quantum field theories
• 3. Non-abelian moduli spaces
• 4. Symplectic quotients
• 5. The infinite-dimensional case
• 6. Projective flatness
• 7. The Feynman integral formulation
• 8. Final comments
• Bibliography
• Index.

by "Nielsen BookData"

Details

• NCID: BA10668850
• ISBN:
  • 0521395216
  • 0521395542
• LCCN: 90043350
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cambridge ; New York
• Pages/Volumes: x, 78 p.
• Size: 23 cm
• Classification:
  • NDC8 : 415.2
  • LCC : QA612.2
  • DC20 : 514/.224
• Subject Headings:
  • LCSH : Knot theory
• Parent Bibliography ID:
  • BA07823875