Regularized determinants of the Laplacian for cofinite Kleinian groups with finite-dimensional unitary representations

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.

To appear in Communications in Mathematical Physics. This is a corrected version

References in corpus (1)

• The Selberg trace formula and Selberg zeta-function for cofinite Kleinian groups with finite-dimensional unitary representations