English

The multiplicative eigenvalue problem and deformed quantum cohomology

Algebraic Geometry 2013-11-04 v2 Quantum Algebra Representation Theory

Abstract

We construct deformations of the small quantum cohomology rings of homogeneous spaces G/P, and obtain an irredundant set of inequalities determining the multiplicative eigenvalue problem for the compact form K of G.

Keywords

Cite

@article{arxiv.1310.3191,
  title  = {The multiplicative eigenvalue problem and deformed quantum cohomology},
  author = {Prakash Belkale and Shrawan Kumar},
  journal= {arXiv preprint arXiv:1310.3191},
  year   = {2013}
}

Comments

39 pages. We note that an equivalent form of one of our main theorems (Theorem 1.2) has been established independently by Nicolas Ressayre in arXiv:1310.7331 "On the quantum Horn problem"

R2 v1 2026-06-22T01:45:11.042Z