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math.DG2026
Hyperkähler structures on leaves of hyper-Lie Poisson manifolds
Dadi Ni, Kaichuan Qi
Due to its rich structure and close connection with gauge theory, hyperkähler manifolds have attracted increasing interest. Using infinite dimensional hyperkähler reduction, Kron…
math.DG2025
Atiyah Classes in the Context of Generalized Complex Geometry
Dadi Ni
In analogy to the classical holomorphic setting, Lang, Jia and Liu introduced the notion of the Atiyah class for a generalized holomorphic vector bundle using three different appro…