The quasisymmetric flag variety: a toric complex on noncrossing partitions
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912540031713280 |
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| author | Bergeron, Nantel Gagnon, Lucas Nadeau, Philippe Spink, Hunter Tewari, Vasu |
| author_facet | Bergeron, Nantel Gagnon, Lucas Nadeau, Philippe Spink, Hunter Tewari, Vasu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12171 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The quasisymmetric flag variety: a toric complex on noncrossing partitions Bergeron, Nantel Gagnon, Lucas Nadeau, Philippe Spink, Hunter Tewari, Vasu Algebraic Geometry 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. |
| title | The quasisymmetric flag variety: a toric complex on noncrossing partitions |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2508.12171 |