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math.DG2026
Finite-Rank Lie Algebroids for Singular Foliations of Prescribed Vanishing Order
Austin Davis, Cheng-Yi Hung, Sangjun Ko +1
We construct a family of finite-rank Lie algebroids realizing, through their anchor maps, the singular foliations of vector fields vanishing to a prescribed order at the origin. Th…
math.DG2025
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, Kronhe…