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4 of 4 people found the following review helpful:
4.0 out of 5 stars
Decent survey on "quantum mathematics",
By A Customer
This review is from: Geometry and Quantum Field Theory: June 22-July 20, 1991, Park City, Utah (Ias/Park City Mathematics, Vol 1) (Paperback)
This book has four articles on mathematics in quantum field theory. Some of it is well known and "classical", particularly the article by Bryant on symplectic geometry (however, Bryan does discuss the modern modern developments by Gromov in the last section). The article by Rabin attempts to do the impossible: try to teach mathematicians the physics behind quantum field theory via path integrals. The article by Alvarez on index theorems summarizes nicely the connections between supersymmetry and index theory. The last article by Quinn on topological field theory is written for the mathematician in mind. It is fascinating mathematics and gives the reader the impression that research in topological field theory will no doubt continue to grow in importance. Several advances have taken place since the book was published (1995), so peruse the literature before buying it.
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Geometry and Quantum Field Theory: June 22-July 20, 1991, Park City, Utah (Ias/Park City Mathematics, Vol 1) by Daniel S. Freed (Paperback - March 24, 1995)
$57.00
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