On the bilinear and cubic forms of some symplectic connected sums

Authors
Citation
Wang, Wei, On the bilinear and cubic forms of some symplectic connected sums, Acta mathematica Sinica. English series (Print) , 28(9), 2012, pp. 1809-1812
ISSN journal
14398516
Volume
28
Issue
9
Year of publication
2012
Pages
1809 - 1812
Database
ACNP
SICI code
Abstract
Let (M 1,M 2,N) be three symplectic manifolds and suppose that we can do the symplectic connected sum of M 1 and M 2 along their submanifold N to obtain M 1#N M 2. In this paper, we consider the bilinear and cubic forms of H*(M 1#N M 2, .) when dimM 1#N M 2 = 4, 6. Under some conditions, we get some relations of the bilinear and the cubic forms between M 1#N M 2 and M 1.M 2.