Chern-Simons-Witten invariants of lens spaces and torus bundles, and the semiclassical approximation
type: Item
instance of: scholarly article
title: Chern-Simons-Witten invariants of lens spaces and torus bundles, and the semiclassical approximation
zbMATH Open document ID: 0755.53054
DOI: 10.1007/BF02097243
author: Lisa C. Jeffrey
published in: Communications in Mathematical Physics
publication date: 1993-01-17T00:00:00Z
review text: The study of the new invariants of 3-dimensional manifolds introduced by E. Witten using Chern-Simons gauge theory is performed for certain families of three-manifolds. Namely, explicit formulas for the Chern- Simons-Witten invariants of lens spaces and torus bundles over \(S^ 1\) are determined, for arbitrary values of the level \(k\), with emphasis on the group \(G=\text{SU}(2)\). The author exhibits explicitly the agreement of the limiting values of the derived formulas as \(k\to\infty\), with the semiclassical approximation predicted by the Chern-Simons path integral. An appendix of notations and preliminary results is also provided.
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 81T70
zbMATH DE Number: 96714
zbMATH Keywords: Chern-Simons-Witten invariants
zbMATH Keywords: lens spaces
zbMATH Keywords: torus bundles
zbMATH Keywords: semiclassical approximation
zbMATH Keywords: Chern-Simons path integral
reviewed by: Vladimir Balan
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02097243
OpenAlex ID: W2086201100
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description: scientific article; zbMATH DE number 96714