Year: 2025
Type: article
Abstract: This paper focuses on studying the configuration spaces of graphs realised in C 2 \mathbb C^2 , such that the configuration space is, after normalisation, one dimensional. If this is the case, then the configuration space is, generically, a smooth complex curve, and can be seen as a Riemann surface. The property of interest in this paper is the genus of this curve. Using tropical geometry, we give an algorithm to compute this genus. We provide an implementation in Python and give various examples.
Source: Mathematics of Computation
DOI: 10.1090/mcom/4144
Authors: J. Schicho, A. Tewari, A. Warren
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4414913831