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.
"The exposition is admirably lucid and elegant and I cannot imagine
a better introduction, for graduate students and the more
experienced, for mathematicians and physicists, to the large amount
of high-powered mathematics required...As a source of insight this
book is marvellous." Nature
"For those with some of the background...Atiyah's book is a
marvelous appetizer, an invitation to delve more deeply. For the
interested scientist who is not directly involved, there is still
the pleasure of the safari in the hands of an excellent guide."
American Scientist
"...provides an invaluable commentary for mathematicians to
Witten's important paper 'Quantum field theory and the Jones
polynomial'...." Steven Rosenberg, Mathematical Reviews
"The exposition is taut and the writing simple, elegant, and to the
point. It is in fact a tour de force of single-minded and
jargon-free exposition....we are dealing here more with poetry and
inspirational writing than with the prose of everyday mathematics,
and in this spirit, it is a pleasure to recommend this little
volume to one and all." Raoul Bott, Bulletin of the American
Mathematical Society
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