Properties of 3-manifolds for relativists

Abstract

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.

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

References in corpus (2)

• No-Boundary Theta-Sectors in Spatially Flat Quantum Cosmology
• Quantum Mechanics On Spaces With Finite Fundamental Group

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