Phys. Rev. Lett. 66, 1255–1258 (1991)Computer tests of Witten’s Chern-Simons theory against the theory of three-manifoldsReceived 19 November 1990; published in the issue dated 11 March 1991 We study Witten’s (2+1)-dimensional Chern-Simons theory with gauge group SU(2). The partition function in this theory is a topological invariant of three-manifolds. Following the prescription given by Witten, we explicitly calculate this partition function on some three-manifolds and verify many of the predictions made by the path integral. Most strikingly, we check the perturbation theory against the exact solution. © 1991 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.66.1255
DOI:
10.1103/PhysRevLett.66.1255
PACS:
03.65.Db, 02.40.+m, 11.15.Tk
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