The multiplicativity of fixed point invariants

Details The multiplicativity of fixed point invariants The multiplicativity of fixed point invariants

2012-03-05

arxiv.org/abs/1203.0950v1

Mathematics

Algebraic Topology

24 pages

Scientific paper

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.

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