Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Transferred Chern classes in Morava $K$-theory

Authors: Malkhaz Bakuradze and Stewart Priddy
Translated by:
Journal: Proc. Amer. Math. Soc. 132 (2004), 1855-1860
MSC (2000): Primary 55R12, 55R20; Secondary 55R40
Published electronically: December 18, 2003
Erratum: Proc. Amer. Math. Soc. (recently posted)
MathSciNet review: 2051151
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 $K(s)^*B(Z/p \times U(n))$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 55R12, 55R20, 55R40

Retrieve articles in all journals with MSC (2000): 55R12, 55R20, 55R40

Additional Information

Malkhaz Bakuradze
Affiliation: Razmadze Mathematical Institute, Tbilisi 380093, Republic of Georgia
Address at time of publication: Max-Planck-Institut Für Mathematik, Bonn, Germany

Stewart Priddy
Affiliation: Department of Mathematics, Northwestern University, Evanston, Illinois 60208

PII: S 0002-9939(03)07265-4
Keywords: Transfer, formal group law, Chern class
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
Article copyright: © Copyright 2003 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia