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

  •  
  • Overview
  •  
  • Research
  •  
  • Identity
  •  
  • Additional Document Info
  •  
  • View All
  •  

abstract

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

publication date

  • May 1, 2015