Euler characteristics of cominuscule quantum K-theory
Algebraic Geometry
2018-01-31 v1 Combinatorics
Abstract
We prove an identity relating the product of two opposite Schubert varieties in the (equivariant) quantum K-theory ring of a cominuscule flag variety to the minimal degree of a rational curve connecting the Schubert varieties. We deduce that the sum of the structure constants associated to any product of Schubert classes is equal to one. Equivalently, the sheaf Euler characteristic map extends to a ring homomorphism defined on the quantum K-theory ring.
Keywords
Cite
@article{arxiv.1701.06240,
title = {Euler characteristics of cominuscule quantum K-theory},
author = {Anders Skovsted Buch and Sjuvon Chung},
journal= {arXiv preprint arXiv:1701.06240},
year = {2018}
}
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5 pages