{"paper":{"title":"A note on the deformations of almost complex structures on compact four-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Hongyu Wang, Jiuru Zhou, Qiang Tan","submitted_at":"2014-11-15T02:23:55Z","abstract_excerpt":"In this paper, we calculate the dimension of the $J$-anti-invariant cohomology subgroup $H_J^-$ on $\\mathbb{T}^4$. Inspired by the concrete example, $\\mathbb{T}^4$, we get that:\n  On a closed symplectic $4$-dimensional manifold $(M, \\omega)$, $h^-_J=0$ for generic $\\omega$-compatible almost complex structures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4103","kind":"arxiv","version":3},"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"}