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.
Geometriae Dedicata , publisher =
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 2verdicts
UNVERDICTED 2representative citing papers
Artin groups of XXL type are isomorphic to their dual Artin groups for any Coxeter element.
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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The dual Artin isomorphism for Artin groups of XXL type
Artin groups of XXL type are isomorphic to their dual Artin groups for any Coxeter element.