Séminaire Lotharingien de Combinatoire, 95B.80 (2026), 11 pp.
Igor Makhlin
Tropical Cluster Varieties, Phylogenetic Trees, and Generalized Associahedra
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.
Received: November 15, 2025.
Accepted: February 15, 2026.
Final version: April 1, 2026.
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