Towards Projectively Equivariant Quantization
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概要
- 論文の詳細を見る
In this paper, we define a natural generalization of the notion of projectively equivariant quantization on a flat space to arbitrary manifolds equipped with arbitrary projective structures. We show how to get such a quantization for the differential operators of order 2 and explain how the method could be adapted to construct a quantization for all the differential operators. In particular, we state a conjecture about the relevant cohomologies that would insure the existence of such quantization in all cases.
- 理論物理学刊行会の論文
- 2002-03-29
著者
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Lecomte Pierre
Institut De Mathematiques Universite De Liege
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LECOMTE Pierre
Institut de Mathematiques, Universite de Liege