Lecture notes on chern-simons-witten theory.

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...

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Main Author: HU, SEN
Format: eBook
Language:English
Published: WSPC, 2001.
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Online Access:Click for online access

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520 |a 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. 
505 0 |a 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. 
600 1 0 |a Witten, E. 
600 1 7 |a Witten, E.  |2 fast  |1 https://id.oclc.org/worldcat/entity/E39PBJc3Jqxgx77pWmkvj7hPwC 
650 0 |a Gauge fields (Physics) 
650 0 |a Geometric quantization. 
650 0 |a Invariants. 
650 0 |a Quantum field theory  |x Mathematics. 
650 0 |a Three-manifolds (Topology) 
650 7 |a Gauge fields (Physics)  |2 fast 
650 7 |a Geometric quantization  |2 fast 
650 7 |a Invariants  |2 fast 
650 7 |a Quantum field theory  |x Mathematics  |2 fast 
650 7 |a Three-manifolds (Topology)  |2 fast 
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