Kaichuan Qi

collaborators

3 papers

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 $γ \in Ω^{1} (G^{(2)})$ , and characterize the conditions o…

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.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…

Affine deformations of cotangent groupoids

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

Hyperkähler structures on leaves of hyper-Lie Poisson manifolds

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