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.
[Res24] Sirio Resteghini
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative citing papers
Artin groups of XXL type are isomorphic to their dual Artin groups for any Coxeter element.
Complements of Manin-Schechtman arrangements have non-vanishing higher homotopy groups and are therefore not K(π,1) spaces in a broad range of cases.
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.
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Non-vanishing of homotopy groups of Manin--Schechtman arrangements
Complements of Manin-Schechtman arrangements have non-vanishing higher homotopy groups and are therefore not K(π,1) spaces in a broad range of cases.