About the Bohr-Sommerfeld polytope and the multiplicative SU(2)-eigenvalue problem for the trinion

Abstract

We study in detail the work of Jeffrey and Weitsman, especially Jeffrey:Weitsman:1992 and Jeffrey:Weitsman:1994. In particular, we describe the manner in which the inequalities that cut out the Bohr-Sommerfeld moment polytope give rise to a solution of the SU(2)-multiplicative eigenvalue problem for the case of three conjugacy classes.

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