Higher genus polylogarithms on families of Riemann surfaces
Algebraic Geometry
2023-10-06 v2 Number Theory
Abstract
We construct polylogarithms on families of pointed Riemann surfaces of any genus which describe monodromies of meromorphic connections with simple poles. Furthermore, we show that the polylogaritms are computable as power series in deformation parameters and their logarithms associated with the families.
Cite
@article{arxiv.2209.05006,
title = {Higher genus polylogarithms on families of Riemann surfaces},
author = {Takashi Ichikawa},
journal= {arXiv preprint arXiv:2209.05006},
year = {2023}
}
Comments
This is a significantly revised text of Version 1 approaching theoretical physics