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181   $ctxt
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183   $acr
200 10$aLecture notes on Chern-Simons-Witten theory$b[electronic resource] /$fSen Hu
210   $aSingapore ;$aRiver Edge, NJ $cWorld Scientific$dc2001
215   $a1 online resource (200p.) 
300   $aBased in part on lectures presented by E. Witten at Princeton University in the spring of 1989.
311   $a981-02-3908-4 
320   $aIncludes bibliographical references and index.
327   $aExamples 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.
330   $aThis 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.
330   $bThis 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.
606   $aGauge fields (Physics)
606   $aGeometric quantization
606   $aInvariants
606   $aQuantum field theory$xMathematics
606   $aThree-manifolds (Topology)
615  0$aGauge fields (Physics)
615  0$aGeometric quantization.
615  0$aInvariants.
615  0$aQuantum field theory$xMathematics.
615  0$aThree-manifolds (Topology)
676   $a530.14/3
700   $aHu$b Sen$0530335
701   $aWitten$b E$042737
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910780599203321
996   $aLecture notes on Chern-Simons-Witten theory$93727455
997   $aUNINA