Autor:	Carlet, Guido, Posthuma, Hessel, Shadrin, Sergey
Rok vydání:	2015
Předmět:	Mathematics - Differential Geometry Mathematical Physics Nonlinear Sciences - Exactly Solvable and Integrable Systems
Zdroj:	J. Differential Geom. 108 (2018), no. 1, 63-89
Druh dokumentu:	Working Paper
DOI:	10.4310/jdg/1513998030
Popis:	We prove that the bihamiltonian cohomology of a semisimple pencil of Poisson brackets of hydrodynamic type vanishes for almost all degrees. This implies the existence of a full dispersive deformation of a semisimple bihamiltonian structure of hydrodynamic type starting from any infinitesimal deformation. Comment: 22 pages. v2: corrected typos. v3: small improvements of the presentation. v4: typos, small improvements in the introduction and the presentation
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1501.04295 Zobrazit plný text záznamu View this record from Arxiv