1994/07/19 by Alexander Reznikov, Reznikov, Alexander
Mathematics · Social Sciences · #Differential Geometry (math.DG) #Educator Training and Historical Pedagogy #FOS: Mathematics #Religious Education and Schools #dg-ga #math.DG
paper · pdf · doi:10.48550/arxiv.dg-ga/9407007
arxiv created 1994/07/19 · openalex publication_date 1994/07/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove the Bloch conjecture : c2(E) ∈ H4_\cald (X,\bbz(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.