Construction of New Symplectic Cohomology S²xS²
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🧮 math.GT
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cohomologymanifoldssymplecticconstructiontimesarticlecomputeequivalent
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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.
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