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    • Keywords


      Chern class; K-theory; Atiyah-Singer index theorem; Atiyah-Hirzebruch spectral sequence; flag manifold

    • Abstract


      One describes, using a detailed analysis of Atiyah-Hirzebruch spectral sequence, the tuples of cohomology classes on a compact, complex manifold, corresponding to the Chern classes of a complex vector bundle of stable rank. This classification becomes more effective on generalized flag manifolds, where the Lie algebra formalism and concrete integrability conditions describe in constructive terms the Chern classes of a vector bundle.

    • Author Affiliations


      Constantin Banica Mihai Putinar1

      1. Mathematics Department, University of California, Santa Barbara, CA - 93106, USA
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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