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Stokes matrices and exceptional isomorphisms

  • Yu-Wei Fan,
  • Junho Peter Whang

摘要

We prove that the integral Stokes matrices of size 4 with given Coxeter invariant of nonzero discriminant decompose into finitely many braid group orbits. We also establish exceptional isomorphisms between moduli spaces of points on algebraic unit 3-spheres and certain moduli of local systems on positive genus surfaces.