Realizing the analytic surgery group of Higson and Roe geometrically part II: relative η -invariants

Artikel i vetenskaplig tidskrift, 2016

© 2016, Springer-Verlag Berlin Heidelberg. We apply the geometric analog of the analytic surgery group of Higson and Roe to the relative η-invariant. In particular, by solving a Baum–Douglas type index problem, we give a “geometric” proof of a result of Keswani regarding the homotopy invariance of relative η-invariants. The starting point for this work is our previous constructions in “Realizing the analytic surgery group of Higson and Roe geometrically, Part I: The geometric model”.