$Γ$-Cohomology and the Selberg Zeta Function
Abstract
Description
We propose a new method for studying $n$- and $Γ$-cohomology of globalizations of Harish-Chandra modules, where $G=KAN$ is a rank one semisimple Lie group, $Γ$ is a discrete subgroup of $G$ and $n=Lie(N)$. We prove a conjecture of Patterson relating the singularities of Selberg zeta functions with the $Γ$-cohomology of principal series representations if $Γ$ is cocompact and torsion free.
21 pages, LATEX
21 pages, LATEX