The quasisymmetric flag variety: A toric complex on noncrossing partitions

Forum of Mathematics Pi 2026 Open access

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Authors: Nantel Bergeron, Lucas Gagnon, Philippe Nadeau, Hunter Spink, Vasu Tewari
DOI: 10.1017/fmp.2026.10034
Cited by: 0

Abstract

Abstract We develop the geometric theory of equivariant quasisymmetry via a new “quasisymmetric flag variety.” This is a toric complex in the flag variety whose fixed point set is the set of (algebraic) noncrossing partitions, and whose cohomology ring is the ring of quasisymmetric coinvariants.

Fields of Study & Subjects

Advanced Combinatorial Mathematics Advanced Algebra and Geometry Advanced Mathematical Identities

Publication details

Journal / source
Forum of Mathematics Pi
Volume
14
Publication date
1 January 2026
Language
EN