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On the KO Characteristic Cycle of a Spinc Manifold

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Abstract.

We compute the KO-characteristic numbers of a characteristic submanifold of a Spinc manifold in terms of its K-characteristic numbers. The proof is based on the geometry of the Thom class in K-theory and is simpler than the existing proofs of several previously known special cases.

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Authors and Affiliations

  1. Department of Mathematics, University of Kentucky, Lexington, KY, 40506-0027, USA

    Jody Lynn Fast & Serge Ochanine

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  1. Jody Lynn Fast
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  2. Serge Ochanine
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Correspondence to Serge Ochanine.

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Fast, J., Ochanine, S. On the KO Characteristic Cycle of a Spinc Manifold. manuscripta math. 115, 73–83 (2004). https://doi.org/10.1007/s00229-004-0483-8

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  • DOI: https://doi.org/10.1007/s00229-004-0483-8

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