The geometry and physics of knots

著者

• Atiyah, Michael Francis

書誌事項

The geometry and physics of knots

Michael Atiyah

（Lezioni Lincee）

Cambridge University Press, 1990

• : hard
• : pbk

注記

Bibliography: p. [73]-75

Includes index

内容説明・目次

内容説明

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.

目次

• 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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA10668850
• ISBN:
  • 0521395216
  • 0521395542
• LCCN: 90043350
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge ; New York
• ページ数/冊数: x, 78 p.
• 大きさ: 23 cm
• 分類:
  • NDC8 : 415.2
  • LCC : QA612.2
  • DC20 : 514/.224
• 件名:
  • LCSH : Knot theory
• 親書誌ID:
  • BA07823875