Characteristic Classes and Zeroth Order Pseudodifferential Operators

  title={Characteristic Classes and Zeroth Order Pseudodifferential Operators},
  author={Andr{\'e}s Larra{\'i}n-Hubach and Steven J. Rosenberg and Simon Scott and Fabi'an Torres-Ardila},
  journal={arXiv: Differential Geometry},
We provide evidence for the conjecture that the Wodzicki-Chern classes vanish for all bundles with invertible zeroth order pseudodifferential operatorsDOas structure group. The leading order Chern classes are nonzero in general, and they detect elements of the de Rham cohomology groups H � (BDO �,C). 
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