By Camille Laurent-Gengoux,Anne Pichereau,Pol Vanhaecke

Poisson constructions seem in a wide number of contexts, starting from string conception, classical/quantum mechanics and differential geometry to summary algebra, algebraic geometry and illustration conception. In every one of these contexts, it seems that the Poisson constitution isn't a theoretical artifact, yet a key point which, unsolicited, comes in addition to the matter that's investigated, and its tender homes are decisive for the answer to the matter in approximately all situations. Poisson constructions is the 1st publication that gives a entire creation to the speculation, in addition to an outline of the various facets of Poisson structures. The first half covers solid foundations, the principal half includes an in depth exposition of the various recognized different types of Poisson buildings and of the (usually mathematical) contexts within which they seem, and the ultimate half is dedicated to the 2 major functions of Poisson constructions (integrable platforms and deformation quantization). The transparent constitution of the booklet makes it enough for readers who stumble upon Poisson buildings of their learn or for graduate scholars or complex researchers who are drawn to an introduction to the various features and purposes of Poisson structures.​

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