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020 _a0521395216
020 _a0521395542 (paperback)
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050 0 0 _aQA612.2
_b.A85 1990
100 1 _aAtiyah, Michael Francis,
_d1929-
_937852
245 1 4 _aThe Geometry and Physics of Knots /
_cMichael Atiyah.
260 _aCambridge ;
_aNew York :
_bCambridge University Press,
_c1990.
300 _ax, 78 p. ;
_c23 cm.
440 0 _aLezioni lincee
_937853
504 _aIncludes bibliographical references (p. [73]-75) and index.
505 _aPreface; 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.
520 _aThese 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.
650 0 _aKnot theory.
_937854
942 _2lcc
_n0
_cBK
999 _c16823
_d16823