{"paper":{"title":"An example concerning Hamiltonian groups of self product, I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Francois Lalonde, Shengda Hu","submitted_at":"2014-03-31T19:36:55Z","abstract_excerpt":"We show that $(S^2\\times S^2, \\omega_0 \\oplus \\lambda\\omega_0)$, with $\\lambda > 1$, is an example of symplectic manifold $(X, \\omega)$ such that the $\\pi_1 Ham(X \\times X, \\omega\\oplus -\\omega)$ contains extra elements than those from $\\pi_1 Ham(X, \\omega) \\times \\pi_1 Ham(X, -\\omega)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.8141","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"}