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arXiv · gr-qc/9806027

Lens Spaces and Handlebodies in 3D Quantum Gravity

Radu Ionicioiu·Ruth M. Williams
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Abstract

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 $Ø-> Ø$, whereas for the 1- and 2-handlebodies H_1, H_2 they represent genuinely topological transition amplitudes $Ø-> T^2$ and $Ø-> T^2 # T^2$, respectively.

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Radu Ionicioiu, Ruth M. Williams. 1998-06-05. Lens Spaces and Handlebodies in 3D Quantum Gravity. https://doi.org/10.1088/0264-9381%2F15%2F11%2F012

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