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.
Chainlink polytopes and Ehrhart equivalence
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Establishes that traces of q-deformed higher continued fraction matrices equal dimer partition functions on good higher dimers of band graphs and proves lattice structure plus palindromic symmetry for certain families.
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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.