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Peer-reviewedCC BY 4.0Forum of Mathematics, Pi

The quasisymmetric flag variety: a toric complex on noncrossing partitions

  • Nantel Bergeron
  • Lucas Gagnon
  • Philippe Nadeau
  • Hunter Spink
  • Vasu Tewari
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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.

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Cite

BibTeXRIS
BibTeX
@article{bergeron2026quasisymmetric,
  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 = {Forum of Mathematics, Pi},
  year = {2026},
  month = jul,
  doi = {10.1017/fmp.2026.10034},
  eprint = {2508.12171},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05343474v2},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - The quasisymmetric flag variety: a toric complex on noncrossing partitions
AU  - Nantel Bergeron
AU  - Lucas Gagnon
AU  - Philippe Nadeau
AU  - Hunter Spink
AU  - Vasu Tewari
PY  - 2026
DA  - 2026/07/10
JO  - Forum of Mathematics, Pi
DO  - 10.1017/fmp.2026.10034
UR  - https://hal.science/hal-05343474v2
AB  - 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.
SN  - 2050-5086
ER  -