{"paper":{"title":"The homotopy Lie algebra of symplectomorphism groups of 3-fold blow-ups of $(S^2 \\times S^2, \\sigma_{std} \\oplus \\sigma_{std}) $","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"S\\'ilvia Anjos, Sinan Eden","submitted_at":"2017-02-12T20:52:36Z","abstract_excerpt":"We consider the 3-point blow-up of the manifold $ (S^2 \\times S^2, \\sigma \\oplus \\sigma)$ where $\\sigma$ is the standard symplectic form which gives area 1 to the sphere $S^2$, and study its group of symplectomorphisms $\\rm{Symp} ( S^2 \\times S^2 \\#\\, 3\\overline{\\mathbb C\\mathbb P}\\,\\!^2, \\omega)$. So far, the monotone case was studied by J. Evans and he proved that this group is contractible. Moreover, J. Li, T. J. Li and W. Wu showed that the group Symp$_{h}(S^2 \\times S^2 \\#\\, 3\\overline{ \\mathbb C\\mathbb P}\\,\\!^2,\\omega) $ of symplectomorphisms that act trivially on homology is always conn"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03572","kind":"arxiv","version":2},"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"}