Add to ORKG6 pages. Preprint submitted to the Academie des SciencesIn his book (II.5), Connes gives a proof of the Atiyah-Singer index theorem for closed manifolds by using deformation groupoids and appropiate actions of these on R^N. Following these ideas, we prove an index theorem for manifolds with boundary
Let G be a discrete finitely generated group. We consider a G- equivariant fibration, with fibers di...
27 pagesInternational audienceWe define an analytic index and prove a topological index theorem for ...
The index theorem of Atiyah and Singer, discovered in 1963, is a striking result which relates many ...
The Atiyah-Singer index theorem is a remarkable result that allows one to compute the space of solut...
A version of the Atiyah-Patodi-Singer index theorem is proved for general families of Dirac operator...
International audienceWe give a cohomological formula for the index of a fully elliptic pseudodiffer...
Abstract. We define an analytical index map and a topological index map for conical pseudomanifolds....
Abstract. We prove a local index formula for cusp-pseudodifferential operators on a manifold with bo...
The main result of this paper is a new Atiyah-Singer type cohomological formula for the index of Fre...
Abstract This article is a follow up of the previous article of the authors on the analytic surgery ...
We extend the Atiyah, Patodi, and Singer index theorem for first-order differential operators from t...
Abstract. These lecture notes are mainly devoted to a proof using groupoids andKK-theory of Atiyah-S...
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...
The index theorem of Atiyah and Singer, discovered in 1963, is a striking result which relates many ...
Let G be a discrete finitely generated group. We consider a G- equivariant fibration, with fibers di...
27 pagesInternational audienceWe define an analytic index and prove a topological index theorem for ...
The index theorem of Atiyah and Singer, discovered in 1963, is a striking result which relates many ...
The Atiyah-Singer index theorem is a remarkable result that allows one to compute the space of solut...
A version of the Atiyah-Patodi-Singer index theorem is proved for general families of Dirac operator...
International audienceWe give a cohomological formula for the index of a fully elliptic pseudodiffer...
Abstract. We define an analytical index map and a topological index map for conical pseudomanifolds....
Abstract. We prove a local index formula for cusp-pseudodifferential operators on a manifold with bo...
The main result of this paper is a new Atiyah-Singer type cohomological formula for the index of Fre...
Abstract This article is a follow up of the previous article of the authors on the analytic surgery ...
We extend the Atiyah, Patodi, and Singer index theorem for first-order differential operators from t...
Abstract. These lecture notes are mainly devoted to a proof using groupoids andKK-theory of Atiyah-S...
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...
The index theorem of Atiyah and Singer, discovered in 1963, is a striking result which relates many ...
Let G be a discrete finitely generated group. We consider a G- equivariant fibration, with fibers di...
27 pagesInternational audienceWe define an analytic index and prove a topological index theorem for ...
The index theorem of Atiyah and Singer, discovered in 1963, is a striking result which relates many ...