On the bilinear and cubic forms of some symplectic connected sums |
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| Authors: | Wei Wang |
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| Affiliation: | 1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, P. R. China
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| 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. |
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| Keywords: | Symplectic connected sum cohomology bilinear form cubic form |
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