Properties of 3-manifolds for relativists

Details Properties of 3-manifolds for relativists Properties of 3-manifolds for relativists

1993-08-09

arxiv.org/abs/gr-qc/9308008v1

Int.J.Theor.Phys. 33 (1994) 913-930

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages. Plain-TeX, no figures, 1 Table (A4 format)

Scientific paper

In canonical quantum gravity certain topological properties of 3-manifolds are of interest. This article gives an account of those properties which have so far received sufficient attention, especially those concerning the diffeomorphism groups of 3-manifolds. We give a summary of these properties and list some old and new results concerning them. The appendix contains a discussion of the group of large diffeomorphisms of the $l$-handle 3-manifold.

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