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Knots and Classical 3-Geometries

T. -C. Toh, M. R. Anderson

gr-qcarXiv:gr-qc/9412007

Abstract

It has been conjectured by Rovelli that there is a correspondence between the space of link classes of a Riemannian 3-manifold and the space of 3-geometries (on the same manifold). An exact statement of his conjecture will be established and then verified for the case when the 3-manifold is compact, orientable and closed.

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