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The Geometry and Physics of Knots

The Geometry and Physics of Knots

Part of Lezioni Lincee

  • Date Published: October 1990
  • availability: Available
  • format: Paperback
  • isbn: 9780521395540

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  • 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.

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    Product details

    • Date Published: October 1990
    • format: Paperback
    • isbn: 9780521395540
    • length: 108 pages
    • dimensions: 215 x 137 x 7 mm
    • weight: 0.123kg
    • availability: Available
  • 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.

  • Author

    Michael Atiyah, Trinity College, Cambridge

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