Homotopy idempotents on manifolds and Bass' conjectures

Mathematics – Geometric Topology

Scientific paper

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This is the version published by Geometry & Topology Monographs on 29 January 2007

Scientific paper

10.2140/gtm.2007.10.41

The Bass trace conjectures are placed in the setting of homotopy idempotent
selfmaps of manifolds. For the strong conjecture, this is achieved via a
formulation of Geoghegan. The weaker form of the conjecture is reformulated as
a comparison of ordinary and L^2-Lefschetz numbers.

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