Chenchang Zhu

activity

20242026

collaborators

5 papers

math.SG2026

The shifted symplectic geometry of derived higher groupoids

Miquel Cueca, Florian Dorsch, Reyer Sjamaar +1

The main goal of this work is to introduce derived Lie n-groupoids and their shifted symplectic structures. We further define shifted lagrangian structures and prove that their com…

math.DG2026

Differentiating $L_{\infty}$ groupoids

Du Li, Leonid Ryvkin, Arne Wessel +1

Differentiating an Lie $n$ -groupoid via the differential-geometric fat point a priori only yielads a presheaf of graded manifolds. In this article we prove that this presheaf is re…

math.DG2025

Duals of Higher Vector Spaces

Stefano Ronchi, Chenchang Zhu

We introduce a notion of `` $n$ -dual'' to a simplicial vector space for $n \geq 0$ . Coming with it, there is a canonical pairing, which we show to be non-degenerate up to homotopy for…

math.DG2025

Integrating Lie algebroids via stacks and applications to Jacobi manifolds

Chenchang Zhu

Lie algebroids can not always be integrated into Lie groupoids. We introduce a new object--``Weinstein groupoid'', which is a differentiable stack with groupoid-like axioms. With i…

cond-mat.str-el2024

Generalized symmetries in singularity-free nonlinear $I ¨ $ models and their disordered phases

Salvatore D. Pace, Chenchang Zhu, AgnÃ¨s Beaudry +1

We study the nonlinear $I ¨ $ -model in $(d + 1)$ -dimensional spacetime with connected target space $K$ and show that, at energy scales below singular field configurations (such as vo…