Abstract
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.
Citation
Kate Ponto. Michael Shulman. "The multiplicativity of fixed point invariants." Algebr. Geom. Topol. 14 (3) 1275 - 1306, 2014. https://doi.org/10.2140/agt.2014.14.1275
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