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Spring Topology and Dynamics Conference
March 21-23, 2002
University of Texas
Austin, TX, USA

Organizers
Cameron Gordon, John Luecke, Alan Reid

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Lefschetz numbers for sheaf-trivial proper surjections.
by
David F. Snyder
Southwest Texas State University

Consider a fiber-preserving map of the total space of a fibration-like, proper surjection. Then there is a Lefschetz number of this map, and a Lefschetz number for the map restricted to any fiber. We prove that the former is the product of the latter with the Euler characteristic of the base space. The result is based on a extension of the Hopf Trace Formula to finitary spectral sequences over fields.

Date received: February 22, 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 # caik-56.