Rationality of Secondary Classes
نویسنده
چکیده
X iv :d gga /9 40 70 07 v1 1 9 Ju l 1 99 4 Abstract We prove the Bloch conjecture : c2(E) ∈ H D(X,Z(2)) is torsion for holomorphic rank two vector bundles E with an integrable connection over a complex projective variety X . We prove also the rationality of the Chern-Simons invariant of compact arithmetic hyperbolic three-manifolds. We give a sharp higher-dimensional Milnor inequality for the volume regulator of all representations to PSO(1, n) of fundamental groups of compact n-dimensional hyperbolic manifolds, announced in our earlier paper.
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تاریخ انتشار 1994