70 citations · 395 across the 55 of their papers we have counts for
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math.DG1999
Methods of Equivariant Quantization
C. Duval, P. Lecomte, V. Ovsienko
This article is a survey of recent work of the authors developing a new approach to quantization based on the equivariance with respect to some Lie group of symmetries. Examples ar…
math.DG1999★ 2 cited
Projective geometry of polygons and discrete 4-vertex and 6-vertex theorems
V. Ovsienko, S. Tabachnikov
The paper concerns discrete versions of the three well-known results of projective differential geometry: the four vertex theorem, the six affine vertex theorem and the Ghys theore…
math.DG1999
Conformally equivariant quantization: Existence and uniqueness
C. Duval, P. Lecomte, V. Ovsienko
We prove the existence and the uniqueness of a conformally equivariant symbol calculus and quantization on any conformally flat pseudo-Riemannian manifold $(M,\rg)$. In other words…