4 papers
An upper bound for a Hilbert polynomial on quaternionic Kahler manifolds
Uwe Semmelmann, Gregor Weingart
In this article we prove an upper bound for a Hilbert polynomial on quaternionic Kaehler manifolds of positive scalar curvature. As corollaries we obtain bounds on the quaternionic…
A Characterization of the Heat Kernel Coefficients
Gregor Weingart
We consider the asymptotic expansion of the heat kernel of a generalized Laplacian for and characterize the coefficients of this expansion by a natural intertwinin…
Quaternionic analytic torsion
Kai Koehler, Gregor Weingart
We define an (equivariant) quaternionic analytic torsion for antiselfdual vector bundles on quaternionic Kaehler manifolds, using ideas by Leung and Yi. We compute this torsion for…
Vanshing Theorems for Quaternionic Kaehler Manifolds
Uwe Semmelmann, Gregor Weingart
We discuss a peculiar interplay between the representation theory of the holonomy group of a Riemannian manifold, the Weitzenboeck formula for the Hodge-Laplace operator on forms a…