Dadi Ni

collaborators

4 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 $I^^{3} \in I^c ◯^{1} (G^{(2)})$ , 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…

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…

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

Atiyah Classes in the Context of Generalized Complex Geometry

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