Ray-Singer Torsion, Topological field theories and the Riemann zeta function at s = 3.

@inproceedings{1992RaySingerTT,
  title={Ray-Singer Torsion, Topological field theories and the Riemann zeta function at s = 3.},
  author={},
  year={1992}
}
  • Published 1992
Starting with topological field theories we investigate the Ray-Singer analytic torsion in three dimensions. For the lens Spaces L(p; q) an explicit analytic continuation of the appropriate zeta functions is contructed and implemented. Among the results obtained are closed formulae for the individual determinants involved, the large p behaviour of the determinants and the torsion, as well as an infinite set of distinct formulae for ζ(3): the ordinary Riemann zeta function evaluated at s = 3… CONTINUE READING