Toda-Type Presentations for the Quantum K Theory of Partial Flag Varieties

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Authors: Amini, Kamyar, Huq-Kuruvilla, Irit, Mihalcea, Leonardo C., Orr, Daniel, Xu, Weihong
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/214184
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Toda-Type Presentations for the Quantum K Theory of Partial Flag Varieties. Kamyar Amini, Irit Huq-Kuruvilla, Leonardo C. Mihalcea, Daniel Orr and Weihong Xu. SIGMA 21 (2025), 098, 26 pages

We prove a determinantal, Toda-type, presentation for the equivariant K theory of a partial flag variety Fl(₁, …, ₖ; ). The proof relies on pushing forward the Toda presentation obtained by Maeno, Naito, and Sagaki for the complete flag variety Fl(), via Kato's KT(pt)-algebra homomorphism from...