Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schwarzian derivative related to modules of differential operators on a
  locally projective manifold   We introduce a 1-cocycle on the group of diffeomorphisms Diff$(M)$ of a
smooth manifold $M$ endowed with a projective connection. This cocycle
represents a nontrivial cohomology class of $\Diff(M)$ related to the
Diff$(M)$-modules of second order linear differential operators on $M$. In the
one-dimensional case, this cocycle coincides with the Schwarzian derivative,
while, in the multi-dimensional case, it represents its natural and new
generalization. This work is a continuation of \cite{bo} where the same
problems have been treated in one-dimensional case.

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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci