Eigenvalues of products of unitary matrices and quantum Schubert calculus
alg-geom
2016-08-30 v1 Algebraic Geometry
Abstract
We describe the inequalities on the possible eigenvalues of products of unitary matrices in terms of quantum Schubert calculus. Related problems are the existence of flat connections on the punctured two-sphere with prescribed holonomies, and the decomposition of fusion product of representations of SU(n), in the large level limit. In the second part of the paper we investigate how various aspects of the problem (symmetry, factorization) relate to properties of the Gromov-Witten invariants.
Keywords
Cite
@article{arxiv.alg-geom/9712013,
title = {Eigenvalues of products of unitary matrices and quantum Schubert calculus},
author = {Sharad Agnihotri and Chris Woodward},
journal= {arXiv preprint arXiv:alg-geom/9712013},
year = {2016}
}
Comments
18 pages, uses amssymb