Kamyar Amini

works on

double ramification cycle 1 grothendieck polynomials 1 k-theory 1 logarithmic geometry 1 thom-porteous formula 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.AG2026

On the $K$ -theoretic logarithmic double ramification class

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

The paper defines a K‑theoretic version of the logarithmic double ramification class, proves a product formula and GLₙ(ℤ)‑invariance, and provides an explicit expression using Grot…

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…

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…

On the K-theoretic logarithmic double ramification class

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

Lifting I-functions from the Grassmannians to their cotangent bundles

On the $K$ -theoretic logarithmic double ramification class

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