03599nam 2200661Ia 450 991078059920332120221108085717.0981-238-657-2(CKB)111087028337954(StDuBDS)AH21189853(SSID)ssj0000190829(PQKBManifestationID)11172045(PQKBTitleCode)TC0000190829(PQKBWorkID)10183662(PQKB)10815862(MiAaPQ)EBC1681621(WSP)00004131(Au-PeEL)EBL1681621(CaPaEBR)ebr10255949(CaONFJC)MIL530334(OCoLC)860923320(PPN)164186972(EXLCZ)9911108702833795420011010d2001 uy 0engur|||||||||||txtccrLecture notes on Chern-Simons-Witten theory[electronic resource] /Sen HuSingapore ;River Edge, NJ World Scientificc20011 online resource (200p.) Based in part on lectures presented by E. Witten at Princeton University in the spring of 1989.981-02-3908-4 Includes bibliographical references and index.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.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.Gauge fields (Physics)Geometric quantizationInvariantsQuantum field theoryMathematicsThree-manifolds (Topology)Gauge fields (Physics)Geometric quantization.Invariants.Quantum field theoryMathematics.Three-manifolds (Topology)530.14/3Hu Sen530335Witten E42737MiAaPQMiAaPQMiAaPQBOOK9910780599203321Lecture notes on Chern-Simons-Witten theory3727455UNINA