Some coefficients of rank 2 cluster scattering diagrams
Combinatorics
2025-12-03 v3 Algebraic Geometry
Abstract
The purpose of this paper is to translate the expression of rank 2 cluster scattering diagrams via dilogarithm elements into via formal power series. As a corollary, we prove some conjectures introduced by Thomas Elgin, Nathan Reading, and Salvatore Stella.
Cite
@article{arxiv.2507.21916,
title = {Some coefficients of rank 2 cluster scattering diagrams},
author = {Ryota Akagi},
journal= {arXiv preprint arXiv:2507.21916},
year = {2025}
}
Comments
16 pages, ver. 2: Revised the main theorem. Improved Proposition 4.3 17 pages, ver. 3: Minor revisions