3 citations · 3 across the 2 of their papers we have counts for
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math.DG2005
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…
math.DG2004★ 3 cited
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.
math.DG2001
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…