Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model. (English) Zbl 1065.53063

The paper under review is divided into six sections. Section 1 is a short introduction where the authors fix the picture of the paper. Section 2 describes the role of coisotropic submanifolds in Poisson geometry. Section 3 deals with the role of branes in a Poisson sigma model. The quantization problem makes the object of section 4. Some examples are sketched in section 5 and finally Kontsevich’s formalism is discussed in section 6. In conclusion, a very nice paper.


53D17 Poisson manifolds; Poisson groupoids and algebroids
53D20 Momentum maps; symplectic reduction
53D55 Deformation quantization, star products
81T70 Quantization in field theory; cohomological methods
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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