16 citations · 29 across the 6 of their papers we have counts for
7 papers
Single-valued polylogarithms for higher genera
Konstantin Baune, Johannes Broedel, Yannis Moeckli
We extend the construction of single-valued polylogarithms at genus one from arXiv:2511.15240 to once-punctured Riemann surfaces of higher genera. The resulting functions have a tr…
Translating auxiliary symmetries between Schottky uniformization and Jacobi parametrization
Manuel Berger, Johannes Broedel
The explicit description and computation of functions defined on Riemann surfaces of various genera depends on the choice of language: while the Jacobi parametrization is widely kn…
A construction of single-valued elliptic polylogarithms
Konstantin Baune, Johannes Broedel, Yannis Moeckli
We establish a general construction of single-valued elliptic polylogarithms as functions on the once-punctured elliptic curve. Our formalism is an extension of Brown's constructio…
Higher-genus multiple zeta values
Konstantin Baune, Johannes Broedel, Egor Im +2
Multiple zeta values arise as special values of polylogarithms defined on Riemann surfaces of various genera. Building on the vast knowledge for classical and elliptic multiple zet…
Closed-string amplitude recursions from the Deligne associator
Konstantin Baune, Johannes Broedel, Federico Zerbini
Inspired by earlier results on recursions for open-string tree-level amplitudes, and by a result of Brown and Dupont relating open- and closed-string tree-level amplitudes via sing…
Higher-genus Fay-like identities from meromorphic generating functions
Konstantin Baune, Johannes Broedel, Egor Im +2
A possible way of constructing polylogarithms on Riemann surfaces of higher genera facilitates integration kernels, which can be derived from generating functions incorporating the…
Schottky-Kronecker forms and hyperelliptic polylogarithms
Konstantin Baune, Johannes Broedel, Egor Im +2
Elliptic polylogarithms can be defined as iterated integrals on a genus-one Riemann surface of a set of integration kernels whose generating series was already considered by Kronec…