Livsic theorem for low-dimensional diffeomorphism cocycles

Autor:	Kocsard, Alejandro, Potrie, Rafael
Rok vydání:	2014
Předmět:	Mathematics - Dynamical Systems Mathematics - Geometric Topology 37D20 37H15 37H05 37D30
Druh dokumentu:	Working Paper
Popis:	We prove a Livsic type theorem for cocycles taking values in groups of diffeomorphisms of low-dimensional manifolds. The results hold without any localization assumption and in very low regularity. We also obtain a general result (in any dimension) which gives necessary and sufficient conditions to be a coboundary. Comment: 19 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1409.4138 Zobrazit plný text záznamu View this record from Arxiv