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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Transferred Chern classes in Morava $K$-theory
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by Malkhaz Bakuradze and Stewart Priddy
Proc. Amer. Math. Soc. 132 (2004), 1855-1860
DOI: https://doi.org/10.1090/S0002-9939-03-07265-4
Published electronically: December 18, 2003
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Erratum: Proc. Amer. Math. Soc. 132 (2004), 2495-2495.

Abstract:

Let $\eta$ be a complex $n$-plane bundle over the total space of a cyclic covering of prime index $p$. We show that for $k\in \{1,2,...,np\} \setminus \{p,2p,...,np \}$ the $k$-th Chern class of the transferred bundle differs from a certain transferred class $\omega _k$ of $\eta$ by a polynomial in the Chern classes $c_p,...,c_{np}$ of the transferred bundle. The polynomials are defined by the formal group law and certain equalities in $K(s)^*B(Z/p \times U(n))$.
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Bibliographic Information
  • Malkhaz Bakuradze
  • Affiliation: Razmadze Mathematical Institute, Tbilisi 380093, Republic of Georgia
  • Address at time of publication: Max-Planck-Institut Für Mathematik, Bonn, Germany
  • Email: bakuradz@mpim-bonn.mpg.de
  • Stewart Priddy
  • Affiliation: Department of Mathematics, Northwestern University, Evanston, Illinois 60208
  • Email: priddy@math.northwestern.edu
  • Received by editor(s): October 24, 2002
  • Received by editor(s) in revised form: February 24, 2003
  • Published electronically: December 18, 2003
  • Additional Notes: The first author was supported by the Max Planck Institute of Mathematics and CRDF grant GM1 2083
    The second author was partially supported by the NSF
  • Communicated by: Paul Goerss
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 1855-1860
  • MSC (2000): Primary 55R12, 55R20; Secondary 55R40
  • DOI: https://doi.org/10.1090/S0002-9939-03-07265-4
  • MathSciNet review: 2051151