Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778454 | Advances in Mathematics | 2017 | 75 Pages |
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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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Vassily Gorbounov, Christian Korff,