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arxiv: 1005.1160 · v4 · pith:ICEAJCRZnew · submitted 2010-05-07 · 🧮 math.GT · math.GR

Algebraic hulls of solvable groups and exponential iterated integrals on solvmanifolds

classification 🧮 math.GT math.GR
keywords groupsintegralsiteratedalgebraicexponentialhullssolvablesolvmanifolds
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We represent the coordinate ring of algebraic hulls (which are generalizations of the Malcev completions of nilpotent groups for solvable groups) of solvmanifolds $G/\Gamma$ by using Miller's exponential iterated integrals (which are extensions of Chen's iterated integrals) of invariant differential forms.

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