On a special value of the Ruelle L-function
Differential Geometry
2007-08-24 v1 Spectral Theory
Abstract
For a unitary local system of rank one on a complete hyperbolic threefold of finite volume which has only one cusp, the Ruelle L-function is defined. We will show that if the first cohomology group of the local system vanishes its value at s=0 is equal to the square of the Franz-Reidemeister torsion.
Keywords
Cite
@article{arxiv.0708.3123,
title = {On a special value of the Ruelle L-function},
author = {Ken-ichi Sugiyama},
journal= {arXiv preprint arXiv:0708.3123},
year = {2007}
}
Comments
15 pages