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Laurent Demonet, Osamu Iyama, Nathan Reading, Idun Reiten, Hugh Thomas · 2023

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Flip of lattices

math.CO · 2026-05-10 · unverdicted · novelty 7.0

Defines flips and mutations on posets and lattices, proves mutable lattices are semidistributive, establishes local mutability for type-A and type-B Cambrian lattices, and introduces Ordovician lattices via iterated mutations with conjectures on their structure and cluster algebra compatibility.

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  • Flip of lattices math.CO · 2026-05-10 · unverdicted · none · ref 6

    Defines flips and mutations on posets and lattices, proves mutable lattices are semidistributive, establishes local mutability for type-A and type-B Cambrian lattices, and introduces Ordovician lattices via iterated mutations with conjectures on their structure and cluster algebra compatibility.