46 citations · 429 across the 44 of their papers we have counts for
46 papers
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…
On the integration of relative Rota-Baxter Lie algebras
Jun Jiang, Yunhe Sheng, Chenchang Zhu
In this paper, we give the necessary and sufficient conditions of the integrability of relative Rota-Baxter Lie algebras via double Lie groups, matched pairs of Lie groups and fact…
Post-groupoids and quiver-theoretical solutions of the Yang-Baxter equation
Yunhe Sheng, Rong Tang, Chenchang Zhu
The notion of post-groups was introduced by Bai, Guo and the first two authors recently, which are the global objects corresponding to post-Lie algebras, equivalent to skew-left br…
Duals of Higher Vector Spaces
Stefano Ronchi, Chenchang Zhu
We introduce a notion of ``-dual'' to a simplicial vector space for . Coming with it, there is a canonical pairing, which we show to be non-degenerate up to homotopy for…
Generalized symmetries in singularity-free nonlinear models and their disordered phases
Salvatore D. Pace, Chenchang Zhu, Agnès Beaudry +1
We study the nonlinear -model in -dimensional spacetime with connected target space and show that, at energy scales below singular field configurations (such as vor…
Differentiating groupoids
Du Li, Leonid Ryvkin, Arne Wessel +1
Differentiating an Lie -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…