Algebraic obstructions control approximate WZW solutions on polarized families; a generalized equation using Harder-Narasimhan filtrations always has approximate solutions, and an asymptotic converse to the Andreotti-Grauert theorem is proved.
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About Wess-Zumino-Witten equation and Harder-Narasimhan potentials
Algebraic obstructions control approximate WZW solutions on polarized families; a generalized equation using Harder-Narasimhan filtrations always has approximate solutions, and an asymptotic converse to the Andreotti-Grauert theorem is proved.