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Chern-Simons-Witten invariants of lens spaces and torus bundles,and the semiclassical approximation
Authors:Lisa C. Jeffrey
Affiliation:(1) Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, CB2 1SB Cambridge, UK
Abstract:We derive explicit formulas for the Chern-Simons-Witten invariants of lens spaces and torus bundles overS1, for arbitrary values of the levelk. Most of our results are for the groupG=SU(2), though some are for more general compact groups. We explicitly exhibit agreement of the limiting values of these formulas askrarrinfin with the semiclassical approximation predicted by the Chern-Simons path integral.Partially supported by an NSF Graduate FellowshipAddress as of September 1, 1991: School of Natural Science, Institute for Advanced Study, Princeton, NJ 08540; USA
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