Algebraic hulls of solvable groups and exponential iterated integrals on solvmanifolds

Abstract

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.

arXiv comment8 pages. To appear in Geom. Dedicata