Kamyar Amini

collaborators

3 papers

math.AG2026

On the $K$ -theoretic logarithmic double ramification class

Kamyar Amini, You-Cheng Chou, Leo Herr +3

The logarithmic double ramification cycle is the virtual fundamental class of the locus where a line bundle on a family of curves is fiberwise trivial. We construct a K-theoretic l…

math.AG2025

Lifting $I$ -functions from the Grassmannians to their cotangent bundles

Kamyar Amini

We relate two fundamental enumerative functions, namely the $I$ -functions in the quantum $K$ -ring of $G (r, n)$ and of its cotangent bundle, by defining a $K$ -theoretic operator on c…

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…

On the K-theoretic logarithmic double ramification class

Lifting I-functions from the Grassmannians to their cotangent bundles

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

On the $K$ -theoretic logarithmic double ramification class

Lifting $I$ -functions from the Grassmannians to their cotangent bundles