Open Access

A base-point-free definition of the Lefschetz invariant

Fixed Point Theory and Applications20062006:34143

DOI: 10.1155/FPTA/2006/34143

Received: 30 November 2004

Accepted: 21 July 2005

Published: 28 February 2006


In classical Lefschetz-Nielsen theory, one defines the Lefschetz invariant of an endomorphism of a manifold . The definition depends on the fundamental group of , and hence on choosing a base point and a base path from to . At times, it is inconvenient or impossible to make these choices. In this paper, we use the fundamental groupoid to define a base-point-free version of the Lefschetz invariant.


Authors’ Affiliations

Department of Mathematics, Fort Lewis College


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© Vesta Coufal. 2006

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