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Geometric Topology II
September 29 - October 5, 2002
Inter-University Center, Dubrovnik; Department of Mathematics, University of Zagreb
Dubrovnik, Croatia

Organizers
Ivan Ivansic, University of Zagreb;, James E. Keesling, University of Florida;, Alexander N. Dranishnikov, University of Florida;, Sime Ungar, University of Zagreb

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Mod p Chern polynomials in vecor bundles with periodic maps
by
Jan Jaworowski
Indiana University, Bloomington, IN 47405-5701

Suppose that E --> B is a vector bundle with a linear periodic map of period p; the map is assumed free on the outside of the 0-section. A polynomial cE(y), called mod p Chern polynomial of E, is defined. It is analogous to the Stiefel-Whitney polynomial defined by Dold for real vector bundles with the antipodal involution. The mod p Chern polynomial can be used to measure the size of the periodic coincidence set for fibre preserving maps of the unit sphere bundle of E into another vector bundle.

Date received: August 7, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caje-42.