๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The index of the pseudo-Riemannian Dirac operator as a transversally elliptic operator

โœ Scribed by Baum Helga


Publisher
Springer
Year
1983
Tongue
English
Weight
337 KB
Volume
1
Category
Article
ISSN
0232-704X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


The first eigenvalue of the transversal
โœ Seoung Dal Jung ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 108 KB

On a foliated Riemannian manifold with a transverse spin structure, we give a lower bound for the square of the eigenvalues of the transversal Dirac operator. We prove, in the limiting case, that the foliation is a minimal, transversally Einsteinian with constant transversal scalar curvature.

The Dirac Operator of a Commuting d-Tupl
โœ William Arveson ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 186 KB

Given a commuting d-tuple T ยฏ=(T 1 , ..., T d ) of otherwise arbitrary operators on a Hilbert space, there is an associated Dirac operator D T ยฏ. Significant attributes of the d-tuple are best expressed in terms of D T ยฏ, including the Taylor spectrum and the notion of Fredholmness. In fact, all pro

On the Index of Elliptic Operators on a
โœ Boris V Fedosov; Bert-Wolfgang Schulze; Nikolai N Tarkhanov ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 510 KB

We propose an analytical approach to the index theory of pseudo-differential operators on a manifold with edges. It results in an intermediate algebraic index formula. The latter permits much more freedom in homotopies and, in particular, can be transformed to the topological formula.