{"paper":{"title":"Tamed Symplectic forms and Generalized Geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Anna Fino, Gueo Grantcharov, Nicola Enrietti","submitted_at":"2011-12-12T15:43:54Z","abstract_excerpt":"We show that symplectic forms taming complex structures on compact manifolds are related to special types of almost generalized K\\\"ahler structures. By considering the commutator $Q$ of the two associated almost complex structures $J_{\\pm}$, we prove that if either the manifold is 4-dimensional or the distribution ${Im} \\, Q$ is involutive, then the manifold can be expressed locally as a disjoint union of twisted Poisson leaves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2592","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}