Coincidence invariants and higher Reidemeister traces. (English) Zbl 1342.18010
The author shows that the identification of the Lefschetz number and index using formal properties of the symmetric monoidal trace extends to coincidence invariants. The main result is to obtain a generalization of the Lefschetz fixed point theorem for coincidences to Reidemeister traces. It is interesting to observe that the author focuses on closed smooth manifolds, but many of the results could also be stated in terms of compact ENRs ( or finite CW complexes) by replacing normal bundles by mapping cylinders.
Reviewer: João Peres Vieira (Rio Claro)
MSC:
| 18D05 | Double categories, \(2\)-categories, bicategories and generalizations (MSC2010) |
| 18D10 | Monoidal, symmetric monoidal and braided categories (MSC2010) |
| 55M20 | Fixed points and coincidences in algebraic topology |
| 55P25 | Spanier-Whitehead duality |
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