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Bounded cohomology, Higgs bundles, and Milnor-Wood inequalities

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.

preprint2020arXivOpen access
Tobias HartnickAndreas Ott
math.AGmath.DG
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Tobias HartnickAndreas Ott

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