The quasisymmetric flag variety: a toric complex on noncrossing partitions
Algebraic Geometry
2025-08-19 v1
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 noncrossing partitions, and whose cohomology ring is the ring of quasisymmetric coinvariants.
Keywords
Cite
@article{arxiv.2508.12171,
title = {The quasisymmetric flag variety: a toric complex on noncrossing partitions},
author = {Nantel Bergeron and Lucas Gagnon and Philippe Nadeau and Hunter Spink and Vasu Tewari},
journal= {arXiv preprint arXiv:2508.12171},
year = {2025}
}