All regulators of flat bundles are torsion

DOI10.2307/2118525zbMath0865.14003arXivdg-ga/9407006OpenAlexW2093974805MaRDI QIDQ1842637

Alexander G. Reznikov

Publication date: 11 April 1996

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9407006

zbMATH Keywords

compact Kähler manifoldBloch conjecturerationality of secondary characteristic classesvolume regulator

Mathematics Subject Classification ID

Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (9)

The non-abelian Hodge correspondence on some non-Kähler manifolds ⋮ On somes characteristic classes of flat bundles in complex geometry ⋮ Cohomological invariants of a variation of flat connections ⋮ Chern invariants of some flat bundles in the arithmetic Deligne cohomology ⋮ Characteristic classes of Higgs bundles and Reznikov's theorem ⋮ Maximal representations of uniform complex hyperbolic lattices ⋮ Chern-Simons classes for a superconnection ⋮ Algebraic Differential Characters of Flat Connections with Nilpotent Residues ⋮ Poisson metrics and Higgs bundles over noncompact Kähler manifolds

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