1998/06/05 by Radu Ionicioiu, Ruth M. Williams, Ruth M Williams
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #gr-qc #hep-lat #hep-th
paper · pdf · doi:10.1088/0264-9381/15/11/012
published as Class.Quant.Grav. 15 (1998) 3469-3477 · 14 pages, LaTeX, 5 figures, uses epsf
arxiv created 1998/06/05 · openalex publication_date 1998/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We calculate partition functions for lens spaces up to p = 8 and for genus-1 and -2 handlebodies , in the Turaev - Viro framework. These can be interpreted as transition amplitudes in three-dimensional quantum gravity. In the case of lens spaces these are vacuum-to-vacuum amplitudes , whereas for the 1- and 2-handlebodies , they represent genuinely topological transition amplitudes and , respectively.