Tropical cluster varieties, phylogenetic trees, and generalized associahedra

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Igor Yur'evich Makhlin
DOI: 10.48550/arxiv.2602.14957
Cited by: 0

Abstract

We explicitly describe the tropicalization of a type C cluster variety by identifying it with the space of axially symmetric phylogenetic trees. We also study the signed tropicalizations of this cluster variety, realizing them as subfans of the tropicalization that are dual to either associahedra or cyclohedra.

Fields of Study & Subjects

Advanced Combinatorial Mathematics Algebraic Geometry and Number Theory Algebraic structures and combinatorial models

Publication details

Journal / source
arXiv (Cornell University)
Publication date
16 February 2026
Language
EN
Document type
Preprint