International audienceWe study Fredholm properties and index formulas for Dirac operators over complete Riemannian manifolds with straight ends. An important class of examples of such manifolds are complete Riemannian manifolds with pinched negative sectional curvature and finite volume
We consider a hyperbolic Dirac-type operator with growing potential on a spatially non-compact globa...
Die abgeschlossenen Erweiterungen der sogenannten geometrischen Operatoren (Spin-Dirac, Gauß-Bonnet ...
Abstract. We prove a local index formula for cusp-pseudodifferential operators on a manifold with bo...
Abstract. We study Fredholm properties and index formulas for Dirac operators over complete Riemanni...
27 pagesInternational audienceWe define an analytic index and prove a topological index theorem for ...
AbstractWe are interested in the spectral properties of Dirac operators on Riemannian manifolds with...
International audienceDirac-Schrödinger systems play a central role when modeling Dirac bundles and ...
AbstractDirac–Schrödinger systems play a central role when modeling Dirac bundles and Dirac–Schrödin...
AbstractAn expression is found for the L2-index of a Dirac operator coupled to a connection on a Un ...
We show that the Dirac operator on a compact globally hyperbolic Lorentzian spacetime with spacelike...
AbstractFollowing Gorokhovsky and Lott and using an extension of the b-pseudodifferential calculus o...
We show that the Dirac operator on a compact globally hyperbolic Lorentzian spacetime with spacelike...
The relative index theorem is proved for general first-order elliptic operators that are complete an...
Coarse index theory has been introduced by John Roe. It provides a theory to use tools from C∗-algeb...
In this article we outline an approach to index theory on the basis of methods of noncommutative top...
We consider a hyperbolic Dirac-type operator with growing potential on a spatially non-compact globa...
Die abgeschlossenen Erweiterungen der sogenannten geometrischen Operatoren (Spin-Dirac, Gauß-Bonnet ...
Abstract. We prove a local index formula for cusp-pseudodifferential operators on a manifold with bo...
Abstract. We study Fredholm properties and index formulas for Dirac operators over complete Riemanni...
27 pagesInternational audienceWe define an analytic index and prove a topological index theorem for ...
AbstractWe are interested in the spectral properties of Dirac operators on Riemannian manifolds with...
International audienceDirac-Schrödinger systems play a central role when modeling Dirac bundles and ...
AbstractDirac–Schrödinger systems play a central role when modeling Dirac bundles and Dirac–Schrödin...
AbstractAn expression is found for the L2-index of a Dirac operator coupled to a connection on a Un ...
We show that the Dirac operator on a compact globally hyperbolic Lorentzian spacetime with spacelike...
AbstractFollowing Gorokhovsky and Lott and using an extension of the b-pseudodifferential calculus o...
We show that the Dirac operator on a compact globally hyperbolic Lorentzian spacetime with spacelike...
The relative index theorem is proved for general first-order elliptic operators that are complete an...
Coarse index theory has been introduced by John Roe. It provides a theory to use tools from C∗-algeb...
In this article we outline an approach to index theory on the basis of methods of noncommutative top...
We consider a hyperbolic Dirac-type operator with growing potential on a spatially non-compact globa...
Die abgeschlossenen Erweiterungen der sogenannten geometrischen Operatoren (Spin-Dirac, Gauß-Bonnet ...
Abstract. We prove a local index formula for cusp-pseudodifferential operators on a manifold with bo...