Locally symmetric spaces and K-theory of number fields
arXiv:0904.0919 · doi:10.2140/agt.2012.12.155
Abstract
For a closed locally symmetric space M=Γ\G/K and a representation of G we consider the push-forward of the fundamental class in the homology of the linear group and a related invariant in algebraic K-theory. We discuss the nontriviality of this invariant and we generalize the construction to cusped locally symmetric spaces of R-rank one.
48 pages, appears in AGT