2 citations · 6 across the 12 of their papers we have counts for
13 papers · 1 filter
Flat connections on moduli spaces I: Local (1,0)-extension of the DHS connection
Eric D'Hoker, Benjamin Enriquez, Oliver Schlotterer +1
The flat DHS connection constructed in arXiv:2602.01461 is smooth on the configuration space of points on a fixed compact Riemann surface of arb…
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…
Equivalence of flat connections and Fay identities on arbitrary Riemann surfaces
Eric D'Hoker, Oliver Schlotterer
A flat connection on a Riemann surface with values in an infinite dimensional Lie algebra provides a systematic and effective tool for generating an infinite family of polylogarith…
Single-valued flat connections in several variables on arbitrary Riemann surfaces
Eric D'Hoker, Oliver Schlotterer
Polylogarithms on Riemann surfaces may be constructed efficiently in terms of flat connections that can enjoy various algebraic and analytic properties. In this paper, we present a…
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…
Fay identities for polylogarithms on higher-genus Riemann surfaces
Eric D'Hoker, Oliver Schlotterer
A recent construction of polylogarithms on Riemann surfaces of arbitrary genus in arXiv:2306.08644 is based on a flat connection assembled from single-valued non-holomorphic integr…
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…