Notes on the universal elliptic KZB connection

DOI10.4310/PAMQ.2020.v16.n2.a2zbMath1439.14044arXiv1309.0580OpenAlexW1817966437MaRDI QIDQ2308083

Richard M. Hain

Publication date: 25 March 2020

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.0580

zbMATH Keywords

Eisenstein seriesHodge theorymoduli of elliptic curveselliptic KZB connectionalgebraic de Rham theory of fundamental groupsmixed elliptic motives

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Elliptic curves (14H52) Variation of Hodge structures (algebro-geometric aspects) (14D07) Relations with algebraic geometry and topology (11F23)

Related Items (13)

Elliptic multiple zeta values and one-loop superstring amplitudes ⋮ Two dialects for KZB equations: generating one-loop open-string integrals ⋮ Algebraic de Rham theory for the relative completion of 𝑆𝐿₂(ℤ) ⋮ One-loop open-string integrals from differential equations: all-order \(\alpha '\)-expansions at \(n\) points ⋮ ZETA ELEMENTS IN DEPTH 3 AND THE FUNDAMENTAL LIE ALGEBRA OF THE INFINITESIMAL TATE CURVE ⋮ Generating series of all modular graph forms from iterated Eisenstein integrals ⋮ On the universal ellipsitomic KZB connection ⋮ A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS ⋮ From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop ⋮ The Number Theory of Superstring Amplitudes ⋮ Elliptic modular graph forms. I: Identities and generating series ⋮ Elliptic quantum curves of 6d \(\mathrm{SO}(N)\) theories ⋮ On the harmonic volume of Fermat curves

This page was built for publication: Notes on the universal elliptic KZB connection