Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces
arXiv:2009.03276 · doi:10.3842/SIGMA.2022.091
Abstract
We express explicitly the analytic torsion functions associated with the Rumin complex on lens spaces in terms of the Hurwitz zeta function. In particular, we find that the functions vanish at the origin and determine the analytic torsions. Moreover, we have a formula between this torsion and the Ray-Singer torsion.
The paper is generalization of arXiv:1911.03092 on lens spaces