Lens Spaces and Handlebodies in 3D Quantum Gravity

Details Lens Spaces and Handlebodies in 3D Quantum Gravity Lens Spaces and Handlebodies in 3D Quantum Gravity

1998-06-05

arxiv.org/abs/gr-qc/9806027v1

Class.Quant.Grav. 15 (1998) 3469-3477

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, LaTeX, 5 figures, uses epsf

Scientific paper

10.1088/0264-9381/15/11/012

We calculate partition functions for lens spaces L_{p,q} up to p=8 and for genus 1 and 2 handlebodies H_1, H_2 in the Turaev-Viro framework. These can be interpreted as transition amplitudes in 3D quantum gravity. In the case of lens spaces L_{p,q} these are vacuum-to-vacuum amplitudes $\O -> \O$, whereas for the 1- and 2-handlebodies H_1, H_2 they represent genuinely topological transition amplitudes $\O -> T^2$ and $\O -> T^2 # T^2$, respectively.

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