Given a proper, cocompact action of a Lie groupoid, we define a higher index pairing between invariant elliptic differential operators and smooth groupoid cohomology classes. We prove a cohomological index formula for this pairing by applying the van Est map and algebraic index theory. Finally we discuss in examples the meaning of the index pairing and our index formula
Important references added, an important imprecision was corrected, many thanks to the colleague tha...
Important references added, an important imprecision was corrected, many thanks to the colleague tha...
Let G be a discrete finitely generated group. We consider a G- equivariant fibration, with fibers di...
Given a proper, cocompact action of a Lie groupoid, we define a higher index pairing between invaria...
Given a proper, cocompact action of a Lie groupoid, we define a higher index pairing between invaria...
We revisit the cohomological index theorem for elliptic elements in the universal enveloping algebra...
For any Lie groupoid we construct an analytic index morphism taking values in a modified $K-theory$ ...
We define the "localized index" of longitudinal elliptic operators on Lie groupoids associated with ...
Published online: 17 July 2021 OnlinePublRecently, two of the authors of this paper constructed cycl...
For any Lie groupoid, we construct an analytic index morphism taking values in a modified K-theory g...
The aim of this talk is to dicuss index theory of elliptic pseudodifferential operators on groupoids...
The aim of this talk is to dicuss index theory of elliptic pseudodifferential operators on groupoids...
We first introduce an invariant index for G-equivariant elliptic differential operators on a locally...
AbstractWe first introduce an invariant index for G-equivariant elliptic differential operators on a...
In [35] we defined the gauge-equivariant index of a family of ellip-tic operators invariant with res...
Important references added, an important imprecision was corrected, many thanks to the colleague tha...
Important references added, an important imprecision was corrected, many thanks to the colleague tha...
Let G be a discrete finitely generated group. We consider a G- equivariant fibration, with fibers di...
Given a proper, cocompact action of a Lie groupoid, we define a higher index pairing between invaria...
Given a proper, cocompact action of a Lie groupoid, we define a higher index pairing between invaria...
We revisit the cohomological index theorem for elliptic elements in the universal enveloping algebra...
For any Lie groupoid we construct an analytic index morphism taking values in a modified $K-theory$ ...
We define the "localized index" of longitudinal elliptic operators on Lie groupoids associated with ...
Published online: 17 July 2021 OnlinePublRecently, two of the authors of this paper constructed cycl...
For any Lie groupoid, we construct an analytic index morphism taking values in a modified K-theory g...
The aim of this talk is to dicuss index theory of elliptic pseudodifferential operators on groupoids...
The aim of this talk is to dicuss index theory of elliptic pseudodifferential operators on groupoids...
We first introduce an invariant index for G-equivariant elliptic differential operators on a locally...
AbstractWe first introduce an invariant index for G-equivariant elliptic differential operators on a...
In [35] we defined the gauge-equivariant index of a family of ellip-tic operators invariant with res...
Important references added, an important imprecision was corrected, many thanks to the colleague tha...
Important references added, an important imprecision was corrected, many thanks to the colleague tha...
Let G be a discrete finitely generated group. We consider a G- equivariant fibration, with fibers di...
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