Milnor-Wood type inequalities for Higgs bundles
We explain how the generalized Milnor-Wood inequality of Burger and Iozzi for reductive representations of a cocompact complex-hyperbolic lattice into a Hermitian Lie group translates under the non-abelian Hodge correspondence into an inequality for topological invariants of the corresponding Higgs...
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| Main Authors: | , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
28 Sep 2018
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| In: |
Arxiv
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| Online Access: | Verlag, 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 of Burger and Iozzi for reductive representations of a cocompact complex-hyperbolic lattice into a Hermitian Lie group translates under the non-abelian Hodge correspondence into an inequality for topological invariants of the corresponding Higgs bundles. In this manner, we obtain in a uniform way a universal Milnor-Wood inequality for Higgs bundles over complex-hyperbolic manifolds of arbitrary dimensions and with arbitrary Hermitian structure group. This complements results of Biquard, Bradlow, Garcia-Prada, Gothen, Mundet, Rubio and Chaput, Koziarz, Maubon. |
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| Item Description: | Eine frühere Version dieses Artikels erschien am 22. Mai 2011 unter demselben Link Gesehen am 25.02.2019 |
| Physical Description: | Online Resource |