Deformation Quantization and Poisson Geometry

  • Rui Loja Fernandes Departamento de Matemática, Instituto Superior Tecnico

Resumo

The theory of Deformation Quantization has experienced amazing progress in the last few years, culminating with the recent work of Kontsevich proving that every Poisson manifold admits a non-trivial deformation quantization.In this survey we briefly describe the theory of Deformation Quantization and its relation to Poisson Geometry.

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Fernandes, R. (1). Deformation Quantization and Poisson Geometry. Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 4(3), 237-361. Recuperado de https://www.revistas.usp.br/resenhasimeusp/article/view/74955
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