Abstract
Let M be an n-dimensional, differential, compact and closed manifold and let c be a characteristic class of degree greater or equal to (n+1)/2. We will prove that if the class c anihilates all the characteristic numbers of M, where it enters as a factor, then the manifold M is cobordant to a manifold in which the class c is zero. Also, we will examine the case of manifolds with an extra structure.
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Papastavridis, S. On killing characteristic classes by cobordism. Manuscripta Math 29, 85–92 (1979). https://doi.org/10.1007/BF01309314
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DOI: https://doi.org/10.1007/BF01309314