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Conformal Field Theory and Topology

Home > Mathematics Books > Group Theory > Item 143

	Conformal Field Theory and Topology
	by Toshitaki Kohno Sales Rank: 2141667	List Price: ~~$37.00~~ $37.00 At Amazon on 10-14-2008

Mass Market Paperback: 184 pages Publisher: American Mathematical Society March 1, 2002 Language: English ISBN-10: 082182130X ISBN-13: 978-0821821305 Product Dimensions: 8.4 x 5.5 x 0.6 inches Shipping Weight: 7.8 ounces *Product Description* Geometry and physics have been developed with a strong influence on each other. One of the most remarkable interactions between geometry and physics since 1980 has been an application of quantum field theory to topology and differential geometry. This book focuses on a relationship between two-dimensional quantum field theory and three-dimensional topology which has been studied intensively since the discovery of the Jones polynomial in the middle of the 1980s and Witten's invariant for 3-manifolds derived from Chern-Simons gauge theory. An essential difficulty in quantum field theory comes from infinite-dimensional freedom of a system. Techniques dealing with such infinite-dimensional objects developed in the framework of quantum field theory have been influential in geometry as well. This book gives an accessible treatment for a rigorous construction of topological invariants originally defined as partition functions of fields on manifolds. The book is organized as follows: The Introduction starts from classical mechanics and explains basic background materials in quantum field theory and geometry. Chapter 1 presents conformal field theory based on the geometry of loop groups. Chapter 2 deals with the holonomy of conformal field theory. Chapter 3 treats Chern-Simons perturbation theory. The final chapter discusses topological invariants for 3-manifolds derived from Chern-Simons perturbation theory.
Conformal Field Theory and Topology Available from Amazon Price: $37.00 Updated on 10-14-2008

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