9 papers
Positivity of minuscule quantum K-theory
Anders S. Buch, Pierre-Emmanuel Chaput, Leonardo C. Mihalcea +1
We prove that the Schubert structure constants of the quantum -theory ring of any minuscule flag variety or quadric hypersurface have signs that alternate with codimension. We a…
A Nakayama result for the quantum K theory of homogeneous spaces
Wei Gu, Leonardo C. Mihalcea, Eric Sharpe +3
We prove that the ideal of relations in the (equivariant) quantum K ring of a homogeneous space is generated by quantizations of each of the generators of the ideal in the classica…
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 . The proof relies on pushing forward the Toda…
Quantum -theoretic divisor axiom for flag manifolds
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
We prove an identity for (torus-equivariant) 3-point, genus 0, -theoretic Gromov-Witten invariants of flag manifolds , which can be thought of as a replacement for the ``di…
Quantum K-theory levels in physics and math
I. Huq-Kuruvilla, L. Mihalcea, E. Sharpe +1
The purpose of this paper is to describe the basics of a dictionary between Chern-Simons levels in three-dimensional gauged linear sigma models (GLSMs) and the (coincidentally-name…
Quantum K--theory of Grassmannians from a Yang-Baxter algebra
Vassily Gorbounov, Christian Korff, Leonardo C. Mihalcea
In an earlier paper, two of the authors defined a -vertex Yang-Baxter algebra (a Hopf algebra) which acts on the sum of the equivariant quantum K-rings of Grassmannians $\mathrm…