Construction of New Symplectic Cohomology S^2xS^2

Details Construction of New Symplectic Cohomology S^2xS^2 Construction of New Symplectic Cohomology S^2xS^2

2006-11-06

arxiv.org/abs/math/0611128v4

Mathematics

Geometric Topology

13 pages

Scientific paper

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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