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arXiv · 1408.4718

Quantum Integrability and Generalised Quantum Schubert Calculus

Vassily Gorbounov·Christian Korff
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Abstract

We introduce and study a new mathematical structure in the generalised (quantum) cohomology theory for Grassmannians. Namely, we relate the Schubert calculus to a quantum integrable system known in the physics literature as the asymmetric six-vertex model. Our approach offers a new perspective on already established and well-studied special cases, for example equivariant K-theory, and in addition allows us to formulate a conjecture on the so-far unknown case of quantum equivariant K-theory.

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BibTeXRIS

Vassily Gorbounov, Christian Korff. 2014-08-20. Quantum Integrability and Generalised Quantum Schubert Calculus. https://doi.org/10.1016/j.aim.2017.03.030

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