11 citations · 36 across the 10 of their papers we have counts for
10 papers
Orbifold-like and proper -manifolds
Franz W. Kamber, Peter W. Michor
In [4] and [5], we generalized the concept of completion of an infinitesimal group action to an actual group action on a (non-compact) manifo…
The equivariant index theorem for transversally elliptic operators and the basic index theorem for Riemannian foliations
Jochen Brüning, Franz W. Kamber, Ken Richardson
In this expository paper, we explain a formula for the multiplicities of the index of an equivariant transversally elliptic operator on a -manifold. The formula is a sum of inte…
Index theory for basic Dirac operators on Riemannian foliations
Jochen Brüning, Franz W. Kamber, Ken Richardson
In 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 consi…
The eta invariant and equivariant index of transversally elliptic operators
Jochen Bruening, Franz Kamber, Ken Richardson
We prove a formula for the multiplicities of the index of an equivariant transversally elliptic operator on a -manifold. The formula is a sum of integrals over blowups of the st…
A generalization of Abel's Theorem and the Abel--Jacobi map
Johan L. Dupont, Franz W. Kamber
We generalize Abel's classical theorem on linear equivalence of divisors on a Riemann surface. For every closed submanifold in a compact oriented Riemannian --…
Dimensional reduction of the perturbed Hermitian-Einstein equation
Steven B. Bradlow, James F. Glazebrook, Franz W. Kamber
Given a Kaehlerian holomorphic fiber bundle whose fiber is a compact homogeneous Kaehler manifold, we describe the perturbed Hermitian-Einstein equations relative to certain holomo…