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hep-th2022★ 21 cited
Modular graph forms from equivariant iterated Eisenstein integrals
Daniele Dorigoni, Mehregan Doroudiani, Joshua Drewitt +5
The low-energy expansion of closed-string scattering amplitudes at genus one introduces infinite families of non-holomorphic modular forms called modular graph forms. Their differe…
math.NT2022
The distribution of Manin's iterated integrals of modular forms
Nils Matthes, Morten S. Risager
We determine the asymptotic distribution of Manin's iterated integrals of length at most 2. For all lengths we compute all the asymptotic moments. We show that if the length is at…
math.AG2022
A note on the Gauss-Manin connection for abelian schemes
Tiago J. Fonseca, Nils Matthes
We study differential forms on the universal vector extension of an abelian scheme in characteristic zero, and derive a new construction of the -group scheme st…