The signature of symplectic manifolds

Jones, Leslie P.

doi:10.1090/S0002-9947-1978-0494163-2

The signature of symplectic manifolds
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Trans. Amer. Math. Soc. 240 (1978), 253-262 Request permission

Abstract:

The motivation for this work was a calculation by Oshanin of the image of the signature homomorphism from the special unitary cobordism ring into the integers. Here we compute this image for symplectic cobordism. This is accomplished by proving two divisibility theorems and then giving examples to show the theorems are the best possible.

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