3 citations · 3 across the 2 of their papers we have counts for
4 papers
Bivariant Chern character and the longitudinal index theory
Alexander Gorokhovsky
In this paper we consider a family of Dirac-type operators on fibration equivariant with respect to an action of an etale groupoid. Such a family defines an element in th…
Local index theory over foliation groupoids
Alexander Gorokhovsky, John Lott
We give a superconnection proof of an index theorem for a Dirac-type operator that is invariant with respect to the action of a foliation groupoid.
Local Index Theory over Etale Groupoids
Alexander Gorokhovsky, John Lott
We give a superconnection proof of Connes' index theorem for proper cocompact actions of etale groupoids. This includes Connes' general foliation index theorem for foliations with…
Chern Classes in Alexander-Spanier Cohomology
Alexander Gorokhovsky
In this article we construct explicit cocycles in the Alexander-Spanier cohomological complex, representing the Chern character of an element in K-theory.