On somes characteristic classes of flat bundles in complex geometry

Daniel, Jeremy

doi:10.5802/aif.3255

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On somes characteristic classes of flat bundles in complex geometry

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Daniel, Jeremy
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Daniel, J. (2019). On somes characteristic classes of flat bundles in complex geometry. Annales de l'Institut Fourier, 69(2), 729-751. doi:10.5802/aif.3255.

Cite as: https://hdl.handle.net/21.11116/0000-0009-F349-3

Abstract

On a compact Kähler manifold X , any semisimple flat bundle carries a harmonic metric. It can be used to define some characteristic classes of the flat bundle, in the cohomology of X. We show that these cohomology classes come from an infinite-dimensional space, constructed with loop groups, an analogue of the period domains used in Hodge theory.