English

Locally symmetric spaces and K-theory of number fields

Geometric Topology 2014-10-01 v6 K-Theory and Homology

Abstract

For a closed locally symmetric space M=\Gamma\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.

Keywords

Cite

@article{arxiv.0904.0919,
  title  = {Locally symmetric spaces and K-theory of number fields},
  author = {Thilo Kuessner},
  journal= {arXiv preprint arXiv:0904.0919},
  year   = {2014}
}

Comments

48 pages, appears in AGT