The work defines c-sortable biclosed sets in the affine symmetric group via pattern-avoiding TITOs and proves a bijection to c-noncrossing partitions using correspondences with arc diagrams and annular partitions.
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5 Pith papers cite this work, alongside 550 external citations. Polarity classification is still indexing.
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550
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The box complex realizes the canonical join complex of alt ν-Tamari lattices and is vertex decomposable, with Euler characteristic and top homology independent of δ.
The authors prove that proper relative Ginzburg algebras yield an additive Λ-cluster algebra structure via negative extensions in Higgs categories, providing an additive view of the monoidal Λ-invariant for untwisted simply-laced types.
Extends Muller-Speyer by constructing extremal matchings via height functions on almost perfect matchings of plabic graphs and proving coverage of all boundary conditions.
citing papers explorer
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A generalization in affine type A of Coxeter sortable elements and Reading's bijection with noncrossing partitions
The work defines c-sortable biclosed sets in the affine symmetric group via pattern-avoiding TITOs and proves a bijection to c-noncrossing partitions using correspondences with arc diagrams and annular partitions.
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A combinatorial model for the canonical join complex of alt $\nu$-Tamari lattices
The box complex realizes the canonical join complex of alt ν-Tamari lattices and is vertex decomposable, with Euler characteristic and top homology independent of δ.
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Additive categorification of the monoidal $\Lambda$-invariant
The authors prove that proper relative Ginzburg algebras yield an additive Λ-cluster algebra structure via negative extensions in Higgs categories, providing an additive view of the monoidal Λ-invariant for untwisted simply-laced types.
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Extremal Matchings and Height Functions
Extends Muller-Speyer by constructing extremal matchings via height functions on almost perfect matchings of plabic graphs and proving coverage of all boundary conditions.
- Complex dynamics perspective for birational maps of the plane arising from cluster algebra mutations