Mathematical Research Letters

Volume 16 (2009)

Number 4

Controlling manifold covers of orbifolds

Pages: 651 – 662



D. B. McReynolds (University of Chicago)


In this article we prove a generalization of Selberg’s lemma on the existence of torsion free, finite index subgroups of arithmetic groups. Some of the geometric applications are the resolution a conjecture of Nimershiem and answers to questions of Long–Reid and the author.

Published 1 January 2009