Deformation Quantization and Poisson Geometry

Rui Loja Fernandes

doi:10.11606/resimeusp.v4i3.74955

Deformation Quantization and Poisson Geometry

Autores

Rui Loja Fernandes Departamento de Matemática, Instituto Superior Tecnico

DOI:

https://doi.org/10.11606/resimeusp.v4i3.74955

Palavras-chave:

Poisson manifolds

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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Como Citar

Fernandes, R. L. (2014). Deformation Quantization and Poisson Geometry. Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 4(3), 237-361. https://doi.org/10.11606/resimeusp.v4i3.74955