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.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
years
2026 2verdicts
UNVERDICTED 2representative citing papers
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
-
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.
-
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.