Homotopy idempotents on manifolds and Bass' conjectures

a Jon Berrick , Indira Chatterji (1) , Guido Mislin

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

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.

Domaines: Topologie géométrique [math.GT]; Topologie algébrique [math.AT]

a Jon Berrick, Indira Chatterji, Guido Mislin. Homotopy idempotents on manifolds and Bass' conjectures. Geometry & Topology Monographs, 2007, pp.41. ⟨hal-00470799⟩