Observables in 3-dimensional quantum gravity and topological invariants

Abstract

In this paper we report some results on the expectation values of a set of observables introduced for 3-dimensional Riemannian quantum gravity with positive cosmological constant, that is, observables in the Turaev-Viro model. Instead of giving a formal description of the observables, we just formulate the paper by examples. This means that we just show how an idea works with particular cases and give a way to compute 'expectation values' in general by a topological procedure.

24 pages, 47 figures

References in corpus (2)

• Geometrical measurements in three-dimensional quantum gravity
• Observables in the Turaev-Viro and Crane-Yetter models

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