Fredholm realizations of elliptic symbols on manifolds with boundary

Details Fredholm realizations of elliptic symbols on manifolds with boundary Fredholm realizations of elliptic symbols on manifolds with boundary

2006-07-06

arxiv.org/abs/math/0607154v2

Journal f\"ur die reine und angewandte Mathematik (Crelles Journal). Volume 2009, Issue 627, Pages 155-181

Mathematics

Differential Geometry

Scientific paper

We show that the existence of a Fredholm element of the zero calculus of pseudodifferential operators on a compact manifold with boundary with a given elliptic symbol is determined, up to stability, by the vanishing of the Atiyah-Bott obstruction. It follows that, up to small deformations and stability, the same symbols have Fredholm realizations in the zero calculus, in the scattering calculus and in the transmission calculus of Boutet de Monvel.

Affiliated with

Also associated with

No associations

Rating

Fredholm realizations of elliptic symbols on manifolds with boundary 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 Fredholm realizations of elliptic symbols on manifolds with boundary, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fredholm realizations of elliptic symbols on manifolds with boundary will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-45504