Rationality of secondary classes

dc.creatorReznikov, Alexander
dc.date1994-07-19
dc.date.accessioned2026-07-07T09:12:23Z
dc.date.available2026-07-07T09:12:23Z
dc.descriptionWe prove the Bloch conjecture : $ c_2(E) \in H^4_\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.
dc.identifierhttps://arxiv.org/abs/dg-ga/9407007
dc.identifierhttp://arxiv.org/abs/dg-ga/9407007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152004
dc.subjectDifferential Geometry
dc.titleRationality of secondary classes
dc.typetext

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