Displaying similar documents to “Bordism with codimension-one singularities”

Contact topology and the structure of 5-manifolds with π 1 = 2

Hansjörg Geiges, Charles B. Thomas (1998)

Annales de l'institut Fourier


We prove a structure theorem for closed, orientable 5-manifolds M with fundamental group π 1 ( M ) = 2 and second Stiefel-Whitney class equal to zero on H 2 ( M ) . This structure theorem is then used to construct contact structures on such manifolds by applying contact surgery to fake projective spaces and certain 2 -quotients of  S 2 × S 3 .