Chern Simons invariants in $KK$ theory
K-Theory and Homology
2021-12-07 v2
Abstract
For a unitary representation of the fundamental group of a compact smooth manifold, Atiyah, Patodi, Singer defined the so called alpha-invariant of the representation using Chern-Simons invariants. In this article using traces on C*-algebras, we define intrinsically(i.e without using Chern character) an element in KK-theory with real coefficients theory whose pullback by the representation is the alpha-invariant.
Cite
@article{arxiv.1801.04884,
title = {Chern Simons invariants in $KK$ theory},
author = {Omar Mohsen},
journal= {arXiv preprint arXiv:1801.04884},
year = {2021}
}
Comments
Made changes suggested by the referee