Autor:	Matveiakin, Andrei, Rudenko, Daniil
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	We suggest a definition of cluster polylogarithms on an arbitrary cluster variety and classify them in type $A$. We find functional equations for multiple polylogarithms which generalize equations discovered by Abel, Kummer, and Goncharov to an arbitrary weight. As an application, we prove a part of the Goncharov depth conjecture in weight six.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2208.01564 Zobrazit plný text záznamu View this record from Arxiv