The relative Mishchenko–Fomenko higher index and almost flat bundles. I. The relative Mishchenko–Fomenko index
Y Kubota - Journal of Noncommutative Geometry, 2020 - ems.press
In this paper, the first of two, we introduce an alternative definition of the Chang–Weinberger–
Yu relative higher index, which is thought of as a relative analogue of the Mishchenko …
Yu relative higher index, which is thought of as a relative analogue of the Mishchenko …
R/Z-valued index theory via geometric K-homology
RJ Deeley - ar** cone using the framework of the
geometric cycles of Baum and Douglas is developed. In particular, this leads to a geometric …
geometric cycles of Baum and Douglas is developed. In particular, this leads to a geometric …
[PDF][PDF] Relative geometric assembly and map** cones Part II: Chern characters and the Novikov property.
We study Chern characters and the assembly map** for free actions using the framework
of geometric K-homology. The focus is on the relative groups associated with a group …
of geometric K-homology. The focus is on the relative groups associated with a group …
Relative geometric assembly and map** 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 …
map in relative geometric K‐homology. The properties of the geometric assembly map are …
Realizing the analytic surgery group of Higson and Roe geometrically part II: relative -invariants
We apply the geometric analog of the analytic surgery group of Higson and Roe to the
relative η η-invariant. In particular, by solving a Baum–Douglas type index problem, we give …
relative η η-invariant. In particular, by solving a Baum–Douglas type index problem, we give …
Relative geometric assembly and map** cones, Part II: Chern characters and the Novikov property
Index theory for manifolds with Baas–Sullivan singularities
RJ Deeley - Journal of Noncommutative Geometry, 2018 - ems.press
We study index theory for manifolds with Baas–Sullivan singularities using geometric K-
homology with coefficients in a unital C-algebra. In particular, we define a natural analog of …
homology with coefficients in a unital C-algebra. In particular, we define a natural analog of …