Lecture notes on Chern-Simons-Witten theory / Sen Hu.
2001
QC174.45 .H8 2001eb
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Title
Lecture notes on Chern-Simons-Witten theory / Sen Hu.
Author
ISBN
9812386572 (electronic bk.)
9789812386571 (electronic bk.)
9789810239084 (acid-free paper)
9789810239091 (pbk. ; acid-free paper)
9810239084 (acid-free paper)
9810239092 (pbk. ; acid-free paper)
9789812386571 (electronic bk.)
9789810239084 (acid-free paper)
9789810239091 (pbk. ; acid-free paper)
9810239084 (acid-free paper)
9810239092 (pbk. ; acid-free paper)
Imprint
Singapore ; River Edge, NJ : World Scientific, ©2001.
Language
English
Language Note
English.
Description
1 online resource (xii, 200 pages) : illustrations
Call Number
QC174.45 .H8 2001eb
System Control No.
(OCoLC)646768978
Summary
This work is based on Witten's lectures on topological quantum field theory. Sen Hu has included several appendices providing detals left out of Witten's lectures, and has added two more chapters to update some developments.
This monograph has arisen in part from E. Witten's lectures on topological quantum field theory given in the spring of 1989 at Princeton University. At that time, Witten unified several important mathematical works in terms of quantum field theory, most notably the Donaldson polynomial, the Gromov-Floer homology and the Jones polynomials.;In this book, Sen Hu has added material to provide some of the details left out of Witten's lectures and to update some new developments. In Chapter Four he presents a construction of knot invariant via representation of mapping class groups based on the work of Moore-Seiberg and Kohno. In Chapter Six he offers an approach to constructing knot invariant from string theory and topological sigma models proposed by Witten and Vafa.;In addition, relevant material by S.S. Chern and E. Witten has been included as appendices for the convenience of readers.
This monograph has arisen in part from E. Witten's lectures on topological quantum field theory given in the spring of 1989 at Princeton University. At that time, Witten unified several important mathematical works in terms of quantum field theory, most notably the Donaldson polynomial, the Gromov-Floer homology and the Jones polynomials.;In this book, Sen Hu has added material to provide some of the details left out of Witten's lectures and to update some new developments. In Chapter Four he presents a construction of knot invariant via representation of mapping class groups based on the work of Moore-Seiberg and Kohno. In Chapter Six he offers an approach to constructing knot invariant from string theory and topological sigma models proposed by Witten and Vafa.;In addition, relevant material by S.S. Chern and E. Witten has been included as appendices for the convenience of readers.
Bibliography, etc. Note
Includes bibliographical references and index.
Formatted Contents Note
Examples of quantizations; classical solutions of gauge field theory; quantization of Chern-Simons action; Chern-Simons-Witten theory and three manifold invariant; renormalized perturbation series of Chern-Simons-Witten theory; topological sigma model and localization. Appendices: complex manifold without potential theory, S.S. Chern; geometric quantization of Chern-Simons gauge theory, S. Axelrod, S.D. Pietra and E. Witten; on holomorphic factorization of WZW and Coset models, E. Witten.
Source of Description
Print version record.
Added Author
Available in Other Form
Print version: Hu, Sen. Lecture notes on Chern-Simons-Witten theory. Singapore ; River Edge, NJ : World Scientific, ©2001
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