Exotic characteristic classes of quaternionic bundles

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For a C 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 automorphism β 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].

Original languageEnglish
Pages (from-to)46-58
Number of pages13
JournalIsrael Journal of Mathematics
Issue number1
StatePublished - Feb 1990

ASJC Scopus subject areas

  • General Mathematics


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