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Cycles, submanifolds, and structures on normal bundles

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Abstract.

 We give explicit examples of degree 3 cohomology classes not Poincaré dual to submanifolds, and discuss the realisability of homology classes by submanifolds with Spinc normal bundles.

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Authors and Affiliations

  1. Mathematisches Institut, Ludwig-Maximilians-Universität München, Theresienstr. 39, 80333 München, Germany. e-mail: christian.bohr@mathematik.uni-muenchen.de; bernhard.hanke@mathematik.uni-muenchen.de; dieter@member.ams.org, , , , , , DE

    C. Bohr, B. Hanke & D. Kotschick

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  1. C. Bohr
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  2. B. Hanke
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  3. D. Kotschick
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Received: 20 November 2001

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Bohr, C., Hanke, B. & Kotschick, D. Cycles, submanifolds, and structures on normal bundles. Manuscripta Math. 108, 483–494 (2002). https://doi.org/10.1007/s002290200279

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  • DOI: https://doi.org/10.1007/s002290200279

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