On the Second Cohomology of Kähler Groups
| hal.structure.identifier | Institut de Mathématiques de Jussieu [IMJ] | |
| hal.structure.identifier | Institute for Advanced Study [IAS] | |
| dc.contributor.author | KLINGLER, Bruno | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | KOZIARZ, Vincent | |
| hal.structure.identifier | Institut Élie Cartan de Nancy [IECN] | |
| dc.contributor.author | MAUBON, Julien | |
| dc.date.accessioned | 2024-04-04T03:15:20Z | |
| dc.date.available | 2024-04-04T03:15:20Z | |
| dc.date.issued | 2011-04 | |
| dc.identifier.issn | 1016-443X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194142 | |
| dc.description.abstractEn | Carlson and Toledo conjectured that if an infinite group Γ is the fundamental group of a compact Kähler manifold, then virtually H^2(Γ,ℝ)≠0 . We assume that Γ admits an unbounded reductive rigid linear representation. This representation necessarily comes from a complex variation of Hodge structure (ℂ -VHS) on the Kähler manifold. We prove the conjecture under some assumption on the ℂ -VHS. We also study some related geometric/topological properties of period domains associated to such a ℂ -VHS. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | On the Second Cohomology of Kähler Groups | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00039-011-0114-y | |
| dc.subject.hal | Mathématiques [math]/Géométrie différentielle [math.DG] | |
| dc.identifier.arxiv | 1004.3130v2 | |
| bordeaux.journal | Geometric And Functional Analysis | |
| bordeaux.volume | 21 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01275541 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01275541v1 | |
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