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Cattaneo, Alberto S.; Felder, Giovanni

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

Lett. Math. Phys. 69, Spec. Iss., 157-175 (2004).
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.
Reviewer: Mircea Puta (Timişoara)

Cited in 5 Reviews
Cited in 48 Documents

MSC:

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

Keywords:

coisotropic submanifolds; branes; quantization
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References:

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