Cusp geometry and the cobordism invariance of the index

Details Cusp geometry and the cobordism invariance of the index Cusp geometry and the cobordism invariance of the index

2003-05-28

arxiv.org/abs/math/0305395v3

Adv. Math. 194 (2005), 504-519

Mathematics

Differential Geometry

17 pages, abridged version, to appear in Adv. Math

Scientific paper

The cobordism invariance of the index on closed manifolds is reproved using the calculus of cusp pseudodifferential operators on a manifold with boundary. More generally, on a compact manifold with corners, the existence of a symmetric cusp differential operator of order 1 and of Dirac type near the boundary implies that the sum of the indices of the induced operators on the hyperfaces is null.

Affiliated with

Also associated with

No associations

Rating

Cusp geometry and the cobordism invariance of the index 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 Cusp geometry and the cobordism invariance of the index, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cusp geometry and the cobordism invariance of the index will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-648982