Search Results - "Zhu, Chenchang"

The Controlling L∞-Algebra, Cohomology and Homotopy of Embedding Tensors and Lie–Leibniz Triples by Sheng, Yunhe, Tang, Rong, Zhu, Chenchang

“…In this paper, we first construct the controlling algebras of embedding tensors and Lie–Leibniz triples, which turn out to be a graded Lie algebra and an L ∞…”
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Integrability of jacobi and poisson structures by CRAINIC, Marius, CHENCHANG ZHU

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SEMIDIRECT PRODUCTS OF REPRESENTATIONS UP TO HOMOTOPY by Sheng, Yunhe, Zhu, Chenchang

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Shifted symplectic higher Lie groupoids and classifying spaces by Cueca, Miquel, Zhu, Chenchang

“…We introduce the concept of m-shifted symplectic Lie n-groupoids and symplectic Morita equivalences between them. We then build various models for the…”
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Contact reduction and groupoid actions by Zambon, Marco, Zhu, Chenchang

“…We introduce a new method to perform reduction of contact manifolds that extends Willett's and Albert's results. To carry out our reduction procedure all we…”
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Lie theory and cohomology of relative Rota–Baxter operators by Jiang, Jun, Sheng, Yunhe, Zhu, Chenchang

“…In this paper, we establish a local Lie theory for relative Rota–Baxter operators of weight 1. First we recall the category of relative Rota–Baxter operators…”
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The Controlling $$L_\infty $$-Algebra, Cohomology and Homotopy of Embedding Tensors and Lie–Leibniz Triples by Sheng, Yunhe, Tang, Rong, Zhu, Chenchang

“…In this paper, we first construct the controlling algebras of embedding tensors and Lie–Leibniz triples, which turn out to be a graded Lie algebra and an…”
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On the homotopy theory for Lie ∞–groupoids, with an application to integrating L∞–algebras by Rogers, Christopher, Zhu, Chenchang

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String Principal Bundles and Courant Algebroids by Sheng, Yunhe, Xu, Xiaomeng, Zhu, Chenchang

“…Abstract Just like Atiyah Lie algebroids encode the infinitesimal symmetries of principal bundles, exact Courant algebroids encode the infinitesimal symmetries…”
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Principal Actions of Stacky Lie Groupoids by Bursztyn, Henrique, Noseda, Francesco, Zhu, Chenchang

“…Stacky Lie groupoids are generalizations of Lie groupoids in which the “space of arrows” of the groupoid is a differentiable stack. In this paper, we consider…”
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Integration of Lie 2-Algebras and Their Morphisms by Sheng, Yunhe, Zhu, Chenchang

“…Given a strict Lie 2-algebra, we can integrate it to a strict Lie 2-group by integrating the corresponding Lie algebra crossed module. On the other hand, the…”
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Lie 2-Bialgebras by Bai, Chengming, Sheng, Yunhe, Zhu, Chenchang

“…In this paper, we study Lie 2-bialgebras, paying special attention to coboundary ones, with the help of the cohomology theory of L ∞ -algebras with…”
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Kan Replacement of Simplicial Manifolds by Zhu, Chenchang

“…We establish a functor Kan from local Kan simplicial manifolds to weak Kan simplicial manifolds. It gives a solution to the problem of extending local Lie…”
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n-Groupoids and Stacky Groupoids by Zhu, C.

“…We discuss two generalizations of Lie groupoids. One consists of Lie n-groupoids defined as simplicial manifolds with trivial πk≥ n+1. The other consists of…”
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Lie algebroid fibrations by Brahic, Olivier, Zhu, Chenchang

“…A degree 1 non-negative graded super manifold equipped with a degree 1 vector field Q satisfying [ Q , Q ] = 1 , namely a so-called NQ-1 manifold is, in plain…”
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n-Groupoids and Stacky Groupoids by Zhu, Chenchang

“…International Mathematics Research Notices (2009) 2009:4087-4141 We discuss two generalizations of Lie groupoids. One consists of Lie $n$-groupoids defined as…”
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Higher Lie algebra actions on Lie algebroids by Zambon, Marco, Zhu, Chenchang

“…We consider a simple instance of action up to homotopy. More precisely, we consider strict actions of DGLAs in degrees −1 and 0 on degree 1 NQ-manifolds. In a…”
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Chern–Simons, Wess–Zumino and other cocycles from Kashiwara–Vergne and associators by Alekseev, Anton, Naef, Florian, Xu, Xiaomeng, Zhu, Chenchang

“…Descent equations play an important role in the theory of characteristic classes and find applications in theoretical physics, e.g., in the Chern–Simons field…”
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Duals of Higher Vector Spaces by Ronchi, Stefano, Zhu, Chenchang

“…We introduce a notion of dual $n$-groupoid to a simplicial vector space for any $n\ge 0$. This has a canonical duality pairing which we show to be…”
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Non-Hausdorff symmetries of C-algebras by Buss, Alcides, Meyer, Ralf, Zhu, Chenchang

“…Symmetry groups or groupoids of C*-algebras associated to non-Hausdorff spaces are often non-Hausdorff as well. We describe such symmetries using crossed…”
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