The Ponzano-Regge model and Reidemeister torsion

2006/12/26 by John W. Barrett, Barrett, John W., Ileana Naish-Guzman +1
Economics, Econometrics and Finance · #Economic Theory and Policy

paper · pdf · doi:10.48550/arxiv.gr-qc/0612170

Abstract

The Ponzano-Regge model of three-dimensional quantum gravity is well-defined when the observables satisfy a certain condition involving the twisted cohomology. In this case, the partition function is defined in terms of the Reidemeister torsion. Some consequences for the special cases of planar graphs and knots are given.

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