The Godbillon-Vey invariant in equivariant $KK$-theory
K-Theory and Homology
2020-06-24 v3 Differential Geometry
Dynamical Systems
Abstract
We construct a groupoid equivariant Kasparov class for transversely oriented foliations in all codimensions. In codimension 1 we show that the Chern character of an associated semifinite spectral triple recovers the Connes-Moscovici cyclic cocycle for the Godbillon-Vey secondary characteristic class.
Keywords
Cite
@article{arxiv.1811.04603,
title = {The Godbillon-Vey invariant in equivariant $KK$-theory},
author = {Lachlan MacDonald and Adam Rennie},
journal= {arXiv preprint arXiv:1811.04603},
year = {2020}
}