Recognizing products of surfaces and simply connected $4$-manifolds Academic Article uri icon

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abstract

  • We give necessary and sufficient conditions for a closed smooth 6-manifold N to be diffeomorphic to a product of a surface F and a simply connected 4-manifold M in terms of basic invariants like the fundamental group and cohomological data. Any isometry of the intersection form of M is realized by a self-diffeomorphism of M x F.

publication date

  • December 15, 2014