Contact structures on product five-manifolds and fibre sums along circles
نویسندگان
چکیده
منابع مشابه
Contact Structures on Product 5-manifolds and Fibre Sums along Circles
Two constructions of contact manifolds are presented: (i) products of S with manifolds admitting a suitable decomposition into two exact symplectic pieces and (ii) fibre connected sums along isotropic circles. A decomposition as required for (i) is then shown to exist for all closed symplectic 4-manifolds. In particular, we prove that CP×S admits a contact structure in every homotopy class of a...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2009
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-009-0472-z