Work

Higher genus polylogarithms on families of Riemann surfaces

Year: 2025

Type: article

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.

Source: Nuclear Physics B

DOI: 10.1016/j.nuclphysb.2025.116836

Author: Takashi Ichikawa

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Japan Society for the Promotion of Science

Award: Theory of periods of higher genus Tate curves and arithmetic theory of vector-valued Teichmueller modular forms

OpenAlex ID: W4407695419

FWCI: 17.01

Cites: 31

Cited by: 5

Related to: 10