Knots and Classical 3-Geometries
General Relativity and Quantum Cosmology
2009-10-22 v1
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.
Cite
@article{arxiv.gr-qc/9412007,
title = {Knots and Classical 3-Geometries},
author = {T. -C. Toh and M. R. Anderson},
journal= {arXiv preprint arXiv:gr-qc/9412007},
year = {2009}
}
Comments
14p. type-set in AmS-TeX version 2.1