{"paper":{"title":"New Exotic 4-Manifolds via Luttinger Surgery on Lefschetz Fibrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.SG"],"primary_cat":"math.GT","authors_text":"Anar Akhmedov, Kadriye Nur Saglam","submitted_at":"2012-12-10T04:08:40Z","abstract_excerpt":"In [2], the first author constructed the first known examples of exotic minimal symplectic $\\CP#5\\CPb$ and minimal symplectic 4-manifold that is homeomorphic but not diffeomorphic to $3\\CP#7\\CPb$. The construction in [2] uses Y. Matsumoto's genus two Lefschetz fibrations on $M = \\mathbb{T}^{2}\\times \\mathbb{S}^{2} #4\\CPb$ over $\\mathbb{S}^2$ along with the fake symplectic $\\mathbb{S}^{2} \\times \\mathbb{S}^{2}$ construction given in [1]. The main goal in this paper is to generalize the construction in [2] using the higher genus versions of Matsumoto's fibration constructed by Mustafa Korkmaz an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1967","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"}