{ "id": "math/0611128", "version": "v4", "published": "2006-11-06T01:36:54.000Z", "updated": "2007-04-18T18:40:57.000Z", "title": "Construction of New Symplectic Cohomology S^2xS^2", "authors": [ "Anar Akhmedov" ], "comment": "13 pages", "categories": [ "math.GT" ], "abstract": "In this article, we present new symplectic 4-manifolds with same integral cohomology as $S^{2}\\times S^{2}$. The generalization of this construction is given as well, an infinite family of symplectic 4-manifolds cohomology equivalent to $#_{(2g-1)}{(S^{2}\\times S^{2})}$ for any $g\\geq 2$. We also compute the Seiberg-Witten invariants of these manifolds.", "revisions": [ { "version": "v4", "updated": "2007-04-18T18:40:57.000Z" } ], "analyses": { "subjects": [ "57R55", "57R17", "57M05" ], "keywords": [ "symplectic cohomology", "construction", "integral cohomology" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....11128A" } } }