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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

The signature of symplectic manifolds


Author: Leslie P. Jones
Journal: Trans. Amer. Math. Soc. 240 (1978), 253-262
MSC: Primary 57D90
MathSciNet review: 0494163
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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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DOI: http://dx.doi.org/10.1090/S0002-9947-1978-0494163-2
Keywords: Signature, cobordism, characteristic number, operation, Hopf algebra, multiplicative sequence
Article copyright: © Copyright 1978 American Mathematical Society