Algebraic hull of maximal measurable cocycles of surface groups into Hermitian Lie groups
Sign Up to like & getrecommendations! Published in 2020 at "Geometriae Dedicata"
DOI: 10.1007/s10711-020-00587-7
Abstract: Following the work of Burger, Iozzi and Wienhard for representations, in this paper we introduce the notion of maximal measurable cocycles of a surface group. More precisely, let $$\mathbf {G}$$ G be a semisimple algebraic… read more here.
Keywords: algebraic hull; sigma; cocycle; measurable cocycles ... See more keywords
Non-stationary smooth geometric structures for contracting measurable cocycles
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DOI: 10.1017/etds.2017.38
Abstract: We implement a differential-geometric approach to normal forms for contracting measurable cocycles to $\operatorname{Diff}^{q}(\mathbb{R}^{n},\mathbf{0})$ , $q\geq 2$ . We obtain resonance polynomial normal forms for the contracting cocycle and its centralizer, via $C^{q}$ changes of… read more here.
Keywords: stationary smooth; geometric structures; non stationary; measurable cocycles ... See more keywords