Iterated integrals on the Legendre family of elliptic curves

Published 18 Jul 2025 in math.NT | (2507.13790v1)

Abstract: K.T. Chen showed that iterated integrals give comparison isomorphisms between the cohomologies of bar complexes and fundamental group rings. This led to the development of an algebraic-geometric approach to studying periods given by iterated integrals. In this paper we consider an analogue of this comparison isomorphism theorem for iterated integrals on the Legendre family.

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Eisuke Otsuka

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