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Dimer face polynomials in knot theory and cluster algebras

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math.CO 1

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2026 1

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UNVERDICTED 1

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Higher $q$-Continued Fractions and Dimers on Band Graphs

math.CO · 2026-06-20 · unverdicted · novelty 4.0

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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  • Higher $q$-Continued Fractions and Dimers on Band Graphs math.CO · 2026-06-20 · unverdicted · none · ref 14

    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.