Flat cycles in the homology of € \ SL / SO()

  • Grigori Avramidi

    University of Chicago, USA
  • T. Tâm Nguyên Phan

    University of Chicago, USA

Abstract

In this paper we show that flat ()-dimensional tori give nontrivial rational homology cycles in congruence covers of the locally symmetric space SL \ SL / SO(). We also show that the dimension of the subspace of \ SL / SO(); spanned by flat -tori grows as one goes up in congruence covers.

Cite this article

Grigori Avramidi, T. Tâm Nguyên Phan, Flat cycles in the homology of € \ SL / SO(). Comment. Math. Helv. 90 (2015), no. 3, pp. 645–666

DOI 10.4171/CMH/366