We show that the recently found generalized Jones and Homfly polynomials for links in sum h × [0, 1], where sum h is a closed oriented Riemann surface, may be also obtained by the canonical quantization of a Chern-Simons non-Abelian gauge theory on sum h × [0, 1]. As a particular case, one may consider the 2+1-dimensional Euclidean quantum gravity with a positive cosmological constant.
Generalized link-invariants on 3-manifolds ∑h × [0, 1] from Chern-Simons gauge and gravity theories
NELSON, Jeanette Ethel
1991-01-01
Abstract
We show that the recently found generalized Jones and Homfly polynomials for links in sum h × [0, 1], where sum h is a closed oriented Riemann surface, may be also obtained by the canonical quantization of a Chern-Simons non-Abelian gauge theory on sum h × [0, 1]. As a particular case, one may consider the 2+1-dimensional Euclidean quantum gravity with a positive cosmological constant.
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