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.
arXiv:2502.07198, 2025
2 Pith papers cite this work. Polarity classification is still indexing.
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math.CO 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A flip on posets yields lattice mutations; mutable lattices are semidistributive, Cambrian lattices of types A and B are locally mutable, and Ordovician lattices arise by iterated mutations.
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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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Flip of lattices
A flip on posets yields lattice mutations; mutable lattices are semidistributive, Cambrian lattices of types A and B are locally mutable, and Ordovician lattices arise by iterated mutations.