Use this identifier to quote or link this document: http://hdl.handle.net/2072/13069

Formal deformations of Poisson structures in low dimensions
Pichereau, Anne
Centre de Recerca Matemàtica
In this paper, we study formal deformations of Poisson structures, especially for three families of Poisson varieties in dimensions two and three. For these families of Poisson structures, using an explicit basis of the second Poisson cohomology space, we solve the deformation equations at each step and obtain a large family of formal deformations for each Poisson structure which we consider. With the help of an explicit formula, we show that this family contains, modulo equivalence, all possible formal eformations. We show moreover that, when the Poisson structure is generic, all members of the family are non-equivalent.
2008-07
514 - Geometria
Poisson, Varietats de
Homologia, Teoria d'
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/)
Preprint
Centre de Recerca Matemàtica
Prepublicacions del Centre de Recerca Matemàtica;814
         

Full text files in this document

Files Size Format
Pr814.pdf 305.2 KB PDF

Show full item record

 

Coordination

 

Supporters