Characteristic Classes and Zeroth Order Pseudodifferential Operators - Mathematics > Differential GeometryReport as inadecuate




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



Author: Andrés Larrain-Hubach, Steven Rosenberg, Simon Scott, Fabián Torres-Ardila

Source: https://arxiv.org/







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