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...
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| Main Authors: | , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
14 Apr 2020
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| Edition: | Version v3 |
| In: |
Arxiv
Year: 2021, Pages: 1-24 |
| DOI: | 10.48550/arXiv.1105.4323 |
| Online Access: | Verlag, kostenfrei, Volltext: https://doi.org/10.48550/arXiv.1105.4323 Verlag, kostenfrei, Volltext: http://arxiv.org/abs/1105.4323 
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| Author Notes: | Tobias Hartnick and Andreas Ott |
| Summary: | 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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| Item Description: | Online veröffentlicht am 22. Mai 2011, Version 2 am 28. Sepember 2018, Version 3 am 14. April 2020 Gesehen am 10.01.2024 |
| Physical Description: | Online Resource |
| DOI: | 10.48550/arXiv.1105.4323 |