Fromula for the Projectively Invariant Quantization on Degree Three

Details Fromula for the Projectively Invariant Quantization on Degree Three Fromula for the Projectively Invariant Quantization on Degree Three

2001-05-15

arxiv.org/abs/math/0105116v1

C. R. Acad. Science. Ser. I Math. 333 (2001), no. 4, 343-346

Mathematics

Differential Geometry

4 pages, to appear in C.R.A.S. Paris

Scientific paper

We give an explicit formula for the projectively invariant quantization map
between the space of symbols of degree three and the space of third-order
linear differential operators, both viewed as modules over the group of
diffeomorphisms and the Lie algebra of vector fields on a manifold.

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