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.
| Original language | English |
|---|---|
| Pages (from-to) | 1275-1306 |
| Number of pages | 32 |
| Journal | Algebraic and Geometric Topology |
| Volume | 14 |
| Issue number | 3 |
| DOIs | |
| State | Published - Apr 7 2014 |
ASJC Scopus subject areas
- Geometry and Topology
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