Quantum Generalization of the Horn Conjecture
Algebraic Geometry
2007-05-23 v4 Representation Theory
Abstract
We prove a theorem which implies a quantum (multiplicative) analogue of the Horn conjecture, and also of the saturation conjecture. We obtain transversality statements for quantum schubert calculus in any characteristic and also determine the smallest power of q in an arbitrary (small quantum) product of Schubert varieties in a Grassmannian.
Cite
@article{arxiv.math/0303013,
title = {Quantum Generalization of the Horn Conjecture},
author = {Prakash Belkale},
journal= {arXiv preprint arXiv:math/0303013},
year = {2007}
}
Comments
51 pages, no figures