Regularized determinants of the Laplacian for cofinite Kleinian groups with finite-dimensional unitary representations
Number Theory
2009-11-11 v2 Spectral Theory
Abstract
For cofinite Kleinian groups (or equivalently, finite-volume three-dimensional hyperbolic orbifolds) with finite-dimensional unitary representations, we evaluate the regularized determinant of the Laplacian using W. Muller's regularization. We give an explicit formula relating the determinant to the Selberg zeta-function.
Keywords
Cite
@article{arxiv.math/0605288,
title = {Regularized determinants of the Laplacian for cofinite Kleinian groups with finite-dimensional unitary representations},
author = {Joshua S. Friedman},
journal= {arXiv preprint arXiv:math/0605288},
year = {2009}
}
Comments
To appear in Communications in Mathematical Physics. This is a corrected version