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arXiv · 1105.4323

Bounded cohomology, Higgs bundles, and Milnor-Wood inequalities

Tobias Hartnick·Andreas Ott
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Abstract

We explain how the generalized Milnor-Wood inequality for reductive representations of a cocompact complex-hyperbolic lattice into a Hermitian Lie group translates, under the non-abelian Hodge correspondence, into various kinds of Milnor-Wood inequalities for Higgs bundles. This clarifies the relation between the representation theoretic generalized Milnor-Wood inequality and the various different versions of Milnor-Wood inequalities for Higgs bundles that are known in the literature.

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Tobias Hartnick, Andreas Ott. 2011-05-22. Bounded cohomology, Higgs bundles, and Milnor-Wood inequalities. https://arxiv.org/abs/1105.4323

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