MathDBArborization conjecture for forest forms of cluster monomials
Arborization conjecture for forest forms of cluster monomials
Let a cluster monomial be represented by a web, and let a forest diagram be a tensor diagram whose unclasping has no cycles. The arborization algorithm is the procedure described in Section 10 of the cited work for transforming the web form.
Arborization conjecture. The forest form of a cluster monomial can be found from the web form via the arborization algorithm.
The claim specifies a constructive relationship between web and forest representations of cluster monomials. The supplied text gives no resolution status.
Sources & referencesView supporting material
Primary source
Sergey Fomin and Pavlo Pylyavskyy, “Webs on surfaces, rings of invariants, and clusters”, arXiv:1308.1718 (2013).
Additional references
2 papers in this index state this conjecture (2012–2013). The statement above is taken from the most recent of them; the others are arXiv:1210.1888.
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