Higher-genus Fay-like identities from meromorphic generating functions

Autor:	Baune, Konstantin, Broedel, Johannes, Im, Egor, Lisitsyn, Artyom, Moeckli, Yannis
Rok vydání:	2024
Předmět:	High Energy Physics - Theory Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	A possible way of constructing polylogarithms on Riemann surfaces of higher genera facilitates integration kernels, which can be derived from generating functions incorporating the geometry of the surface. Functional relations between polylogarithms rely on identities for those integration kernels. In this article, we derive identities for Enriquez' meromorphic generating function and investigate the implications for the associated integration kernels. The resulting identities are shown to be exhaustive and therefore reproduce all identities for Enriquez' kernels conjectured in arXiv:2407.11476 recently. Comment: 31+8 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.08208 Zobrazit plný text záznamu View this record from Arxiv