Daniel Orr

activity

20232025

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2 papers · 1 filter

math.CO2025

Combinatorial proof of a permuted basement Macdonald polynomial identity

Daniel Orr, Johnny Rivera

A well-known and fundamental property of the Macdonald polynomials $P_{λ} (x; q, t)$ is their invariance under the transformation sending $(q, t)$ to $(q^{- 1}, t^{- 1})$ . Recently, Concha…

math.AG2025

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

Kamyar Amini, Irit Huq-Kuruvilla, Leonardo C. Mihalcea +2

We prove a determinantal, Toda-type, presentation for the equivariant K theory of a partial flag variety $Fl (r_{1}, \dots, r_{k}; n)$ . The proof relies on pushing forward the Toda…