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math.AG2025
Non-Abelian Kodaira-Spencer Map and non-existence of holomorphic isomonodromic deformation of Higgs bundles over Teichmüller spaces
Tianzhi Hu, Ruiran Sun, Kang Zuo
We define the isomonodromic deformation of a Higgs bundle on a compact Riemann surface via the Hitchin--Simpson correspondence and the isomonodromic deformation of the associated l…
math.AG2025
Kodaira-Spencer Map on the Hitchin-Simpson Correspondence
Tianzhi Hu, Ruiran Sun, Kang Zuo
We define the isomonodromic deformation of a Higgs bundle over a compact Riemann surface via the Hitchin-Simpson correspondence and the isomonodromic deformation of a local system.…