Multiple equivalent combinatorial expansion formulas are given for generalized cluster algebras from arcs on punctured orbifolds, generalizing prior surface and orbifold cases.
Posets forF-polynomials in cluster algebras from surfaces
3 Pith papers cite this work. Polarity classification is still indexing.
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k-Markov numbers satisfy Aigner's conjectures on their orderings and uniqueness properties in positive integer solutions.
Proves unimodality of rank polynomials for loop fence posets and tagged arcs arising from cluster algebras on surfaces, plus almost interlacing symmetry and a log-concavity conjecture for single-curve laminations.
citing papers explorer
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Cluster Expansions from Punctured Orbifolds
Multiple equivalent combinatorial expansion formulas are given for generalized cluster algebras from arcs on punctured orbifolds, generalizing prior surface and orbifold cases.
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Orderings of k-Markov Numbers
k-Markov numbers satisfy Aigner's conjectures on their orderings and uniqueness properties in positive integer solutions.
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Unimodality and Cluster Algebras from Surfaces
Proves unimodality of rank polynomials for loop fence posets and tagged arcs arising from cluster algebras on surfaces, plus almost interlacing symmetry and a log-concavity conjecture for single-curve laminations.