Add to ORKGIn this paper we prove a formula for the analytic index of a basic Dirac-type operator on a Riemannian foliation, solving a problem that has been open for many years. We also consider more general indices given by twisting the basic Dirac operator by a representation of the orthogonal group. The formula is a sum of integrals over blowups of the strata of the foliation and also involves eta invariants of associated elliptic operators. As a special case, a Gauss-Bonnet formula for the basic Euler characteristic is obtained using two independent proofs
In this note, we give and explain the statement of the Hodge decomposition theorem for a transversel...
Laplace operators perturbed by meromorphic potential on the Riemann and separated type Klein surface...
AbstractWe compute the equivariant cohomology Connes–Karoubi character of the index of elliptic oper...
In this paper we prove a formula for the analytic index of a basic Dirac-type operator on a Riemanni...
We prove a formula for the multiplicities of the index of an equivariant transversally elliptic oper...
We prove a formula for the multiplicities of the index of an equivariant transversally elliptic oper...
We prove a formula for the multiplicities of the index of an equivariant transversally elliptic oper...
We prove a formula for the multiplicities of the index of an equivariant transversally elliptic oper...
We study primary and secondary invariants of leafwise Dirac operators on foliated bundles. Given suc...
AbstractFollowing Gorokhovsky and Lott and using an extension of the b-pseudodifferential calculus o...
6 pagesInternational audienceWe derive a cohomological formula for the analytic index of the Dirac-R...
AbstractWe formulate and prove an analog of the Hopf Index Theorem for Riemannian foliations. We com...
Dans cette thèse nous étudions la géométrie basique des feuilletages riemanniens. Nous reprenons d'a...
Dans cette thèse nous étudions la géométrie basique des feuilletages riemanniens. Nous reprenons d’a...
Abstract. With regards to certain Riemannian foliations we consider Kasparov pairings of leafwise an...
In this note, we give and explain the statement of the Hodge decomposition theorem for a transversel...
Laplace operators perturbed by meromorphic potential on the Riemann and separated type Klein surface...
AbstractWe compute the equivariant cohomology Connes–Karoubi character of the index of elliptic oper...
In this paper we prove a formula for the analytic index of a basic Dirac-type operator on a Riemanni...
We prove a formula for the multiplicities of the index of an equivariant transversally elliptic oper...
We prove a formula for the multiplicities of the index of an equivariant transversally elliptic oper...
We prove a formula for the multiplicities of the index of an equivariant transversally elliptic oper...
We prove a formula for the multiplicities of the index of an equivariant transversally elliptic oper...
We study primary and secondary invariants of leafwise Dirac operators on foliated bundles. Given suc...
AbstractFollowing Gorokhovsky and Lott and using an extension of the b-pseudodifferential calculus o...
6 pagesInternational audienceWe derive a cohomological formula for the analytic index of the Dirac-R...
AbstractWe formulate and prove an analog of the Hopf Index Theorem for Riemannian foliations. We com...
Dans cette thèse nous étudions la géométrie basique des feuilletages riemanniens. Nous reprenons d'a...
Dans cette thèse nous étudions la géométrie basique des feuilletages riemanniens. Nous reprenons d’a...
Abstract. With regards to certain Riemannian foliations we consider Kasparov pairings of leafwise an...
In this note, we give and explain the statement of the Hodge decomposition theorem for a transversel...
Laplace operators perturbed by meromorphic potential on the Riemann and separated type Klein surface...
AbstractWe compute the equivariant cohomology Connes–Karoubi character of the index of elliptic oper...