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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Nullity and generalized characteristic classes of differential manifolds


Author: Sin Leng Tan
Journal: Trans. Amer. Math. Soc. 243 (1978), 75-88
MSC: Primary 57D20
MathSciNet review: 0515728
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Abstract: Using the Kamber-Tondeur construction of characteristic classes for foliated bundes, the author has given a method for constructing generalized characteristic classes for a differentiable manifold M without imposing conditions on M. In particular a vanishing theorem on the manifold M is obtained. The construction is particularly useful if the ordinary characteristic ring Pont*(M) of the manifold M vanishes much below the dimension of M.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1978-0515728-5
PII: S 0002-9947(1978)0515728-5
Article copyright: © Copyright 1978 American Mathematical Society