Mathematical Research Letters

Volume 5, Issue 6, November 1998 pp. 817-836.

Eigenvalues of products of unitary matrices and quantum Schubert calculus

Authors: S. Agnihotri and C. Woodward
Author institution: University of Amsterdam, and Rutgers University

Summary: 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.

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