Higher genus polylogarithms on families of Riemann surfaces

被引：0
作者：
Ichikawa, Takashi [1 ]
机构：
[1] Saga Univ, Fac Sci & Engn, Dept Math, Saga 8408502, Japan
来源：
NUCLEAR PHYSICS B | 2025年 / 1013卷
基金：
日本学术振兴会;
关键词：
STABLE CURVES; MODULI SPACE; PROJECTIVITY;
D O I：
10.1016/j.nuclphysb.2025.116836
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We construct polylogarithms on families of pointed Riemann surfaces of any genus which describe monodromies of nilpotent meromorphic connections with simple poles on these families. Furthermore, we show that the polylogarithms are computable as power series in deformation parameters and their logarithms associated with these families whose coefficients are essentially expressed by multiple zeta values.
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页数：16
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