Was there an actual use of GIT technics (moment map, Kempf-Ness theorem) in the different proofs of the Kobayashi-Hitchin correspondence (by Uhlenbeck-Yau and Donaldson)? Or this was rather a heuristic to a hardcore analytical proof.
2026-02-22 19:47:35.1771789655
Use of GIT for moduli problems
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