Gu, WeiMihalcea, Leonardo C.Sharpe, EricXu, WeihongZhang, HaoZou, Hao2024-02-192024-02-192023-10-05https://hdl.handle.net/10919/118055In 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.application/pdfenIn CopyrightArticle - RefereedSharpe, Eric [0000-0002-9355-5720]Mihalcea, Constantin [0000-0002-8437-9163]Xu, Weihong [0000-0003-0990-5327]