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A base-point-free definition of the Lefschetz invariant

Fixed Point Theory and Applications volume 2006, Article number: 34143 (2006) Cite this article

Abstract

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.

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  1. Department of Mathematics, Fort Lewis College, Durango, CO, 81301, USA

    Vesta Coufal

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  1. Vesta Coufal
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Correspondence to Vesta Coufal.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Coufal, V. A base-point-free definition of the Lefschetz invariant. Fixed Point Theory Appl 2006, 34143 (2006). https://doi.org/10.1155/FPTA/2006/34143

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