The spectrum of basic Dirac operators

Details The spectrum of basic Dirac operators The spectrum of basic Dirac operators

2009-08-31

arxiv.org/abs/0908.4554v1

Mathematics

Differential Geometry

9 pages

Scientific paper

This is a survey article on a known generalization of Dirac-type operators to transverse operators called basic Dirac operators on Riemannian foliations, which are smooth foliations that have a transverse geometric structure. Construction of these operators requires the additional structure of what is called a bundle-like metric. We explain the result by Habib-R. that the spectrum of such an operator is independent of the choice of bundle-like metric, provided that the transverse geometric structure is fixed. We discuss consequences, which include defining a new version of the exterior derivative and de Rham cohomology that are nicely adapted to this transverse geometric setting.

Affiliated with

Also associated with

No associations

Rating

The spectrum of basic Dirac operators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The spectrum of basic Dirac operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The spectrum of basic Dirac operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-220954