Nullity and generalized characteristic classes of differential manifolds

Tan, Sin Leng

doi:10.1090/S0002-9947-1978-0515728-5

Nullity and generalized characteristic classes of differential manifolds
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Trans. Amer. Math. Soc. 243 (1978), 75-88 Request permission

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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