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Exotic characteristic classes of quaternionic bundles

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Abstract

For aC ∞ quaternionic vector bundle, the odd-dimensional real Chern classes vanish, and this allows for a construction of secondary (exotic) characteristic classes associated with a pair of quaternionic structures of a given complex vector bundle. This construction is then applied to obtain exotic characteristic classes associated with an automorphismβ of the holomorphic tangent bundle of a Kähler manifold. These results are the complex analoga of those given for the higher order Maslov classes in [V2].

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Authors and Affiliations

  1. Department of Mathematics, University of Haifa, Haifa, Israel

    Izu Vaisman

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  1. Izu Vaisman
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Vaisman, I. Exotic characteristic classes of quaternionic bundles. Israel J. Math. 69, 46–58 (1990). https://doi.org/10.1007/BF02764728

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  • DOI: https://doi.org/10.1007/BF02764728

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