2 citations · 6 across the 12 of their papers we have counts for
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Elliptic modular graph forms, equivariant iterated integrals and single-valued elliptic polylogarithms
Oliver Schlotterer, Yoann Sohnle, Yi-Xiao Tao
The low-energy expansion of genus-one string amplitudes produces infinite families of non-holomorphic modular forms after each step of integrating over a point on the torus worldsh…
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…
Worldsheet fermion correlators, modular tensors and higher genus integration kernels
Eric D'Hoker, Oliver Schlotterer
The cyclic product of an arbitrary number of Szegö kernels for even spin structure on a compact higher-genus Riemann surface may be decomposed via a descent procedure which…
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…
Meromorphic higher-genus integration kernels via convolution over homology cycles
Eric D'Hoker, Oliver Schlotterer
Polylogarithms on arbitrary higher-genus Riemann surfaces can be constructed from meromorphic integration kernels with at most simple poles, whose definition was given by Enriquez…
Relating flat connections and polylogarithms on higher genus Riemann surfaces
Eric D'Hoker, Benjamin Enriquez, Oliver Schlotterer +1
In this work, we relate two recent constructions that generalize classical (genus-zero) polylogarithms to higher-genus Riemann surfaces. A flat connection valued in a freely genera…