4 papers
Degenerations of flat connections on Riemann surfaces
Mattia Biancotto, Eric D'Hoker, Axel Kleinschmidt +2
The integration kernels for polylogarithm functions on a compact Riemann surface of arbitrary genus are shown to close as the surface undergoes a non-separating degeneration to…
Towards Motivic Coactions at Genus One from Zeta Generators
Axel Kleinschmidt, Franziska Porkert, Oliver Schlotterer
The motivic coaction of multiple zeta values and multiple polylogarithms encodes both structural insights on and computational methods for scattering amplitudes in a variety of qua…
Canonicalizing zeta generators: genus zero and genus one
Daniele Dorigoni, Mehregan Doroudiani, Joshua Drewitt +5
Zeta generators are derivations associated with odd Riemann zeta values that act freely on the Lie algebra of the fundamental group of Riemann surfaces with marked points. The genu…
Non-holomorphic modular forms from zeta generators
Daniele Dorigoni, Mehregan Doroudiani, Joshua Drewitt +5
We study non-holomorphic modular forms built from iterated integrals of holomorphic modular forms for SL known as equivariant iterated Eisenstein integrals. A specia…