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Unimodality and Cluster Algebras from Surfaces

math.CO · 2025-08-06 · unverdicted · novelty 6.0

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.

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  • Unimodality and Cluster Algebras from Surfaces math.CO · 2025-08-06 · unverdicted · none · ref 5

    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.