5 papers
Deriving motivic coactions and single-valued maps at genus zero from zeta generators
Hadleigh Frost, Martijn Hidding, Deepak Kamlesh +3
Multiple polylogarithms are equipped with rich algebraic structures including the motivic coaction and the single-valued map which both found fruitful applications in high-energy p…
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…
Cyclic products of higher-genus Szegö kernels, modular tensors and polylogarithms
Eric D'Hoker, Martijn Hidding, Oliver Schlotterer
A wealth of information on multiloop string amplitudes is encoded in fermionic two-point functions known as Szegö kernels. In this paper we show that cyclic products of any number…
Constructing polylogarithms on higher-genus Riemann surfaces
Eric D'Hoker, Martijn Hidding, Oliver Schlotterer
An explicit construction is presented of homotopy-invariant iterated integrals on a Riemann surface of arbitrary genus in terms of a flat connection valued in a freely generated Li…
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…