| Description |
1 online resource |
| 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 |
| Summary |
This invaluable monograph has arisen in part from E Witten's lectures on topological quantum field theory 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 his lectures, among other things, Witten explained his intrinsic three-dimensional construction of Jones polynomials via Chern-Simons gauge theory. He provided both a rigorous proof of the geometric quantization of the Chern-Simons action and a very ill |
| Notes |
Print version record |
| Subject |
Witten, E
|
| SUBJECT |
Witten, E. fast |
| Subject |
Gauge fields (Physics)
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Geometric quantization.
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Invariants.
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Quantum field theory -- Mathematics
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Three-manifolds (Topology)
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Gauge fields (Physics)
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Geometric quantization
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Invariants
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Quantum field theory -- Mathematics
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Three-manifolds (Topology)
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| Form |
Electronic book
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| ISBN |
1299990835 |
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9781299990838 |
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9789812386571 |
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9812386572 |
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