Relative geometric assembly and mapping cones, part I: the geometric model and applications
Relative geometric assembly and mapping cones, part I: the geometric model and applications
Inspired by an analytic construction of Chang, Weinberger and Yu, we define an assembly map in relative geometric K-homology. The properties of the geometric assembly map are studied using a variety of index theoretic tools (for example, the localized index and higher Atiyah–Patodi–Singer index theory). As an application we obtain …