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 relati...
Gespeichert in:
| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) Kapitel/Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
14 Apr 2020
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| Ausgabe: | Version v3 |
| In: |
Arxiv
Year: 2021, Pages: 1-24 |
| DOI: | 10.48550/arXiv.1105.4323 |
| Online-Zugang: | Verlag, kostenfrei, Volltext: https://doi.org/10.48550/arXiv.1105.4323 Verlag, kostenfrei, Volltext: http://arxiv.org/abs/1105.4323 
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| Verfasserangaben: | Tobias Hartnick and Andreas Ott |
MARC
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| 520 | |a 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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