Generalized link-invariants on 3-manifolds ∑h× [0, 1] from Chern-Simons gauge and gravity theories
✍ Scribed by Giuseppe Bonacina; Maurizio Martellini; Jeanette Nelson
- Publisher
- Springer
- Year
- 1991
- Tongue
- English
- Weight
- 345 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0377-9017
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✦ Synopsis
We show that the recently found generalized Jones and Homily polynomials for links in Z h • [0, 1], where E h is a closed oriented Riemann surface, may be also obtained by the canonical quantlzation of a Chern-Simons non-Abelian gauge theory on E h x [0, 1]. As a particular case, one may consider the 2 + l-dimensional Euclidean quantum gravity with a posihve cosmological constant. (1991). 81T13, 57Q45. * As is shown in [3], a consequence of the fact that Equation ( 3) is a solution of (1), is that it coincides with the connection defining the Knizhnik-Zamolodchikov (KZ) equation on the punctured Riemann surface. Now, Bernard [4] showed that the KZ connection just has the form (3).
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