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On the bilinear and cubic forms of some symplectic connected sums

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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, ℤ) 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 1M 2.

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Correspondence to Wei Wang.

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Wang, W. On the bilinear and cubic forms of some symplectic connected sums. Acta. Math. Sin.-English Ser. 28, 1809–1822 (2012). https://doi.org/10.1007/s10114-012-0574-5

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  • DOI: https://doi.org/10.1007/s10114-012-0574-5

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