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The multiplicativity of
fixed point invariants
Kate Ponto and Michael Shulman |
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Algebraic & Geometric Topology 14 (2014) 1275–1306
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Abstract |
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We prove two general factorization theorems for fixed-point invariants of fibrations: one for the Lefschetz number and one for the Reidemeister trace. These theorems imply the familiar multiplicativity results for the Lefschetz and Nielsen numbers of a fibration. Moreover, the proofs of these theorems are essentially formal, taking place in the abstract context of bicategorical traces. This makes generalizations to other contexts straightforward. |
Keywords
Lefschetz number, Reidemeister trace, Nielsen number, trace
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Mathematical Subject Classification 2010
Primary: 55M20
Secondary: 18D05, 55R05
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References |
Publication
Received: 5 January 2013
Revised: 27 October 2013
Accepted: 28 October 2013
Published: 7 April 2014
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Authors |
| Kate Ponto | |
| Department of Mathematics University of Kentucky 719 Patterson Office Tower Lexington, KY 40506 USA |
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| http://www.ms.uky.edu/~kate | |
| Michael Shulman | |
| Department of Mathematics and
Computer Science University of San Diego Serra Hall 133 5998 Alcalá Park San Diego, CA 92110 USA |
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| http://home.sandiego.edu/~shulman | |
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