Group homology and ideal fundamental cycles

Abstract

We prove that the (homological version of the) generalized Goncharov invariant of locally symmetric spaces determines their generalized Neumann-Yang invariant. * (BΓ; Z) → H * (M ; Z) the Eilenberg-MacLane isomorphism (cf. [6], Section 2.1). (In [6], γ (M ) was considered as an element of H d (BGL (C) ; Q). Moreover, in Section 2.5. of [6] we constructed a projection H d (BGL (C) ; Q) → P H d (BGL (C) ; Q) ≃