4 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…
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…
Motivic coaction and single-valued map of polylogarithms from zeta generators
Hadleigh Frost, Martijn Hidding, Deepak Kamlesh +3
We introduce a new Lie-algebraic approach to explicitly construct the motivic coaction and single-valued map of multiple polylogarithms in any number of variables. In both cases, t…