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A topological join construction and the Toda system on compact surfaces of arbitrary genus

A topological join construction and the Toda system on compact surfaces of arbitrary genus

We consider the following Toda system of Liouville equations on a compact surface Σ:which arises as a model for non-abelian Chern-Simons vortices.Here h 1 , h 2 are smooth positive functions and ρ 1 , ρ 2 two positive parameters.For the first time the range ρ 1 ∈ (4kπ, 4(k …