Characteristic Classes and Zeroth Order Pseudodifferential Operators

Details Characteristic Classes and Zeroth Order Pseudodifferential Operators Characteristic Classes and Zeroth Order Pseudodifferential Operators

2010-03-01

arxiv.org/abs/1003.0067v2

Mathematics

Differential Geometry

Second version contains improved exposition and results. To appear in Contemporary Mathematics

Scientific paper

We provide evidence for the conjecture that the Wodzicki-Chern classes vanish for all bundles with the group Z of invertible zeroth order pseudodifferential operators as structure group. In particular, we prove this vanishing if the structure group reduces to pseudodifferential operators with leading order symbol the identity. The leading order Chern classes are nonzero in general, and they detect elements of the de Rham cohomology groups of the classifying space BZ.

Affiliated with

Also associated with

No associations

Rating

Characteristic Classes and Zeroth Order Pseudodifferential 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 Characteristic Classes and Zeroth Order Pseudodifferential Operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Characteristic Classes and Zeroth Order Pseudodifferential Operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-662555