Lecture notes on Chern-Simons-Witten theory /:
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.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore ; River Edge, NJ :
World Scientific,
©2001.
|
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xii, 200 pages :) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9812386572 9789812386571 |
Internformat
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| 260 | |a Singapore ; |a River Edge, NJ : |b World Scientific, |c ©2001. | ||
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| 520 | |a 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. | ||
| 520 | |b 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. | ||
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| 650 | 0 | |a Gauge fields (Physics) |0 http://id.loc.gov/authorities/subjects/sh85053534 | |
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| 650 | 0 | |a Invariants. |0 http://id.loc.gov/authorities/subjects/sh85067665 | |
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| 650 | 0 | |a Three-manifolds (Topology) |0 http://id.loc.gov/authorities/subjects/sh85135028 | |
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| contents | 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. |
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| indexdate | 2025-03-18T14:15:09Z |
| institution | BVB |
| isbn | 9812386572 9789812386571 |
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| publisher | World Scientific, |
| record_format | marc |
| spelling | Hu, Sen. Lecture notes on Chern-Simons-Witten theory / Sen Hu. Chern-Simons-Witten theory Singapore ; River Edge, NJ : World Scientific, ©2001. 1 online resource (xii, 200 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. Print version record. 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. English. Gauge fields (Physics) http://id.loc.gov/authorities/subjects/sh85053534 Geometric quantization. http://id.loc.gov/authorities/subjects/sh85054127 Invariants. http://id.loc.gov/authorities/subjects/sh85067665 Quantum field theory Mathematics. Three-manifolds (Topology) http://id.loc.gov/authorities/subjects/sh85135028 Théorie quantique des champs Mathématique. Quantification géométrique. Champs de jauge (Physique) Variétés topologiques à 3 dimensions. Invariants. Théorie quantique des champs Mathématiques. SCIENCE Waves & Wave Mechanics. bisacsh Gauge fields (Physics) fast Geometric quantization fast Invariants fast Quantum field theory Mathematics fast Three-manifolds (Topology) fast Witten, E. has work: Lecture notes on Chern-Simons-Witten theory (Text) https://id.oclc.org/worldcat/entity/E39PCGBF9B4HkGfg9ywRcfxX7d https://id.oclc.org/worldcat/ontology/hasWork Print version: Hu, Sen. Lecture notes on Chern-Simons-Witten theory. Singapore ; River Edge, NJ : World Scientific, ©2001 (DLC) 2001275381 |
| spellingShingle | Hu, Sen Lecture notes on Chern-Simons-Witten theory / 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. Gauge fields (Physics) http://id.loc.gov/authorities/subjects/sh85053534 Geometric quantization. http://id.loc.gov/authorities/subjects/sh85054127 Invariants. http://id.loc.gov/authorities/subjects/sh85067665 Quantum field theory Mathematics. Three-manifolds (Topology) http://id.loc.gov/authorities/subjects/sh85135028 Théorie quantique des champs Mathématique. Quantification géométrique. Champs de jauge (Physique) Variétés topologiques à 3 dimensions. Invariants. Théorie quantique des champs Mathématiques. SCIENCE Waves & Wave Mechanics. bisacsh Gauge fields (Physics) fast Geometric quantization fast Invariants fast Quantum field theory Mathematics fast Three-manifolds (Topology) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85053534 http://id.loc.gov/authorities/subjects/sh85054127 http://id.loc.gov/authorities/subjects/sh85067665 http://id.loc.gov/authorities/subjects/sh85135028 |
| title | Lecture notes on Chern-Simons-Witten theory / |
| title_alt | Chern-Simons-Witten theory |
| title_auth | Lecture notes on Chern-Simons-Witten theory / |
| title_exact_search | Lecture notes on Chern-Simons-Witten theory / |
| title_full | Lecture notes on Chern-Simons-Witten theory / Sen Hu. |
| title_fullStr | Lecture notes on Chern-Simons-Witten theory / Sen Hu. |
| title_full_unstemmed | Lecture notes on Chern-Simons-Witten theory / Sen Hu. |
| title_short | Lecture notes on Chern-Simons-Witten theory / |
| title_sort | lecture notes on chern simons witten theory |
| topic | Gauge fields (Physics) http://id.loc.gov/authorities/subjects/sh85053534 Geometric quantization. http://id.loc.gov/authorities/subjects/sh85054127 Invariants. http://id.loc.gov/authorities/subjects/sh85067665 Quantum field theory Mathematics. Three-manifolds (Topology) http://id.loc.gov/authorities/subjects/sh85135028 Théorie quantique des champs Mathématique. Quantification géométrique. Champs de jauge (Physique) Variétés topologiques à 3 dimensions. Invariants. Théorie quantique des champs Mathématiques. SCIENCE Waves & Wave Mechanics. bisacsh Gauge fields (Physics) fast Geometric quantization fast Invariants fast Quantum field theory Mathematics fast Three-manifolds (Topology) fast |
| topic_facet | Gauge fields (Physics) Geometric quantization. Invariants. Quantum field theory Mathematics. Three-manifolds (Topology) Théorie quantique des champs Mathématique. Quantification géométrique. Champs de jauge (Physique) Variétés topologiques à 3 dimensions. Théorie quantique des champs Mathématiques. SCIENCE Waves & Wave Mechanics. Geometric quantization Invariants Quantum field theory Mathematics |
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