Description
Polylogarithms on Riemann surfaces of different genera have been proven
useful in many QFT and string amplitude calculations. Furthermore, the notion of singlevalued
functions without monodromies on the underlying surface can be of importance for
some of these computations.
In this talk, I will construct single-valued polylogarithms on Riemann surfaces of arbitrary
genus.
I will start by reviewing Brown’s construction of single-valued polylogarithms on the
punctured Riemann sphere and then generalize this formalism to define single-valued
elliptic and higher-genus polylogarithms.
This talk is based on joint work with Johannes Broedel and Yannis Moeckli.