Local rigidity for complex hyperbolic lattices and Hodge theory (Q634643)
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scientific article; zbMATH DE number 5939406
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local rigidity for complex hyperbolic lattices and Hodge theory |
scientific article; zbMATH DE number 5939406 |
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Local rigidity for complex hyperbolic lattices and Hodge theory (English)
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16 August 2011
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The author proves non-integrability results for first order deformations of the cocompact complex hyperbolic lattices using Hodge theory. These results are generalizations of results obtained by \textit{W. M. Goldman} and \textit{J. J. Millson} [Invent. Math. 88, 495--520 (1987; Zbl 0627.22012)] and results obtained by the author and \textit{I. Kim} and \textit{P. Pansu} [J. Inst. Math. Jussieu 11, No. 1, 133-159 (2012; Zbl 1238.22006)].
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complex hyperbolic lattice
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representation of group
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local rigidity
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Hodge theory
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