Kaichuan Qi

collaborators

4 papers

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.SG2026

Affine deformations of cotangent groupoids

Dadi Ni, Kaichuan Qi

We study affine deformations of the cotangent groupoid $T^{*} G ⇉ A^{*}$ , governed by a one-form $I^^{3} \in I^c ◯^{1} (G^{(2)})$ , and characterize the conditions…

math.SG2026

An Explicit Construction of $S^{1}$ -Gerbes over the Stack $[G / G]$

Dadi Ni, Kaichuan Qi

For a compact and connected Lie group $G$ , we present an explicit construction of an $S^{1}$ -gerbe over the differentiable stack $[G / G]$ in the framework of $S^{1}$ -c…

math.DG2026

HyperkÃ¤hler structures on leaves of hyper-Lie Poisson manifolds

Dadi Ni, Kaichuan Qi

Due to its rich structure and close connection with gauge theory, hyperkÃ¤hler manifolds have attracted increasing interest. Using infinite dimensional hyperkÃ¤hler reduction, Kron…

Finite-Rank Lie Algebroids for Singular Foliations of Prescribed Vanishing Order

Affine deformations of cotangent groupoids

An Explicit Construction of S1-Gerbes over the Stack [G/G]

HyperkÃ¤hler structures on leaves of hyper-Lie Poisson manifolds

An Explicit Construction of $S^{1}$ -Gerbes over the Stack $[G / G]$