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Methods of Equivariant Quantization | | C. Duval
; P. Lecomte
; V. Ovsienko
; | | Date: |
19 Oct 1999 | | Subject: | Differential Geometry; Quantum Algebra | math.DG math.QA | | Abstract: | 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 are provided by conformal and projective differential geometry: given a smooth manifold M endowed with a flat conformal/projective structure, we establish a canonical isomorphism between the space of symmetric contravariant tensor fields on M and the space of differential operators on M. This leads to a notion of conformally/projectively invariant star-product on $T^*M$. | | Source: | arXiv, math.DG/9910094 | | Services: | Forum | Review | PDF | Favorites | |
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