English

About the Bohr-Sommerfeld polytope and the multiplicative $\operatorname{SU}(2)$-eigenvalue problem for the trinion

Algebraic Geometry 2025-06-23 v1

Abstract

We study in detail the work of Jeffrey and Weitsman, especially \cite{Jeffrey:Weitsman:1992} and \cite{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)\operatorname{SU}(2)-multiplicative eigenvalue problem for the case of three conjugacy classes.

Keywords

Cite

@article{arxiv.2506.16681,
  title  = {About the Bohr-Sommerfeld polytope and the multiplicative $\operatorname{SU}(2)$-eigenvalue problem for the trinion},
  author = {Nathan Grieve},
  journal= {arXiv preprint arXiv:2506.16681},
  year   = {2025}
}

Comments

Accepted by Mathematica Cluj