Construction of New Symplectic Cohomology S^2xS^2

Anar Akhmedov

Published 2006-11-06, updated 2007-04-18Version 4

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.