On the twisted Osborne conjecture

Abstract

We aim to prove a twisted version of the Osborne conjecture. The untwisted case was proved by Hecht and Schmid in their 1983 Acta Mathematica paper. Bergeron and Clozel (2013) have considered a special case, and we generalize their method to our setting.

arXiv commentv2: minor language corrections; Section 3 substantially expanded (coherent continuation). Main results unchanged