Mathematics – Geometric Topology
Scientific paper
2009-04-06
Mathematics
Geometric Topology
48 pages, appears in AGT
Scientific paper
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.
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