Quantum K Whitney relations for partial flag varieties
| dc.contributor.author | Gu, Wei | en |
| dc.contributor.author | Mihalcea, Leonardo C. | en |
| dc.contributor.author | Sharpe, Eric | en |
| dc.contributor.author | Xu, Weihong | en |
| dc.contributor.author | Zhang, Hao | en |
| dc.contributor.author | Zou, Hao | en |
| dc.date.accessioned | 2024-02-19T20:10:14Z | en |
| dc.date.available | 2024-02-19T20:10:14Z | en |
| dc.date.issued | 2023-10-05 | en |
| dc.description.abstract | In a recent paper, we stated conjectural presentations for the equivariant quantum K ring of partial flag varieties, motivated by physics considerations. In this companion paper, we analyze these presentations mathematically. We prove that if the conjectured relations hold, then they must form a complete set of relations. Our main result is a proof of the conjectured presentation in the case of the incidence varieties. We also show that if a quantum K divisor axiom holds (as conjectured by Buch and Mihalcea), then the conjectured presentation also holds for the complete flag variety. | en |
| dc.description.notes | 25 pages; revised Remark 5.9 and added Example 5.10 | en |
| dc.description.version | Submitted version | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.orcid | Sharpe, Eric [0000-0002-9355-5720] | en |
| dc.identifier.orcid | Mihalcea, Constantin [0000-0002-8437-9163] | en |
| dc.identifier.orcid | Xu, Weihong [0000-0003-0990-5327] | en |
| dc.identifier.uri | https://hdl.handle.net/10919/118055 | en |
| dc.language.iso | en | en |
| dc.relation.uri | http://arxiv.org/abs/2310.03826v2 | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.title | Quantum K Whitney relations for partial flag varieties | en |
| dc.title.serial | International Mathematical Research Notices | en |
| dc.type | Article - Refereed | en |
| dc.type.dcmitype | Text | en |
| dc.type.other | Article | en |
| pubs.organisational-group | /Virginia Tech | en |
| pubs.organisational-group | /Virginia Tech/Science | en |
| pubs.organisational-group | /Virginia Tech/Science/Mathematics | en |
| pubs.organisational-group | /Virginia Tech/Science/Physics | en |
| pubs.organisational-group | /Virginia Tech/All T&R Faculty | en |
| pubs.organisational-group | /Virginia Tech/Science/COS T&R Faculty | en |
| pubs.organisational-group | /Virginia Tech/Post-docs | en |