Iterated integrals on the Legendre family of elliptic curves

Eisuke Otsuka

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arXiv · 2507.13790

Iterated integrals on the Legendre family of elliptic curves

Eisuke Otsuka

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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. 2025-07-18. Iterated integrals on the Legendre family of elliptic curves. https://arxiv.org/abs/2507.13790

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