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Transferred Chern classes in Morava -theory

Authors:	Malkhaz Bakuradze Stewart Priddy

Institution:	Razmadze Mathematical Institute, Tbilisi 380093, Republic of Georgia ; Department of Mathematics, Northwestern University, Evanston, Illinois 60208

Abstract:	Let $\eta$ be a complex -plane bundle over the total space of a cyclic covering of prime index . We show that for $k\in \{1,2,...,np\} \setminus \{p,2p,...,np \}$ the -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 $K(s)^*B(Z/p \times U(n))$ .

Keywords:	Transfer formal group law Chern class

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