165 citations · 1.1k across the 63 of their papers we have counts for
30 papers · 1 filter
Differential graded manifolds of finite positive amplitude
Kai Behrend, Hsuan-Yi Liao, Ping Xu
We prove that dg manifolds of finite positive amplitude, i.e. bundles of positively graded curved -algebras, form a category of fibrant objects. As a main step in the…
Dg manifolds, formal exponential maps and homotopy Lie algebras
Seokbong Seol, Mathieu Stiénon, Ping Xu
This paper is devoted to the study of the relation between `formal exponential maps,' the Atiyah class, and Kapranov algebras associated with dg manifolds in the $C^\…
Hochschild cohomology of dg manifolds associated to integrable distributions
Zhuo Chen, Maosong Xiang, Ping Xu
For the field or , and an integrable distribution on a smooth manifold , we study the Hoc…
Derived Differentiable Manifolds
Kai Behrend, Hsuan-Yi Liao, Ping Xu
We develop the theory of derived differential geometry in terms of bundles of curved -algebras, i.e. dg manifolds of positive amplitudes. We prove the category of deri…
Shifted Poisson structures on differentiable stacks
Francesco Bonechi, Nicola Ciccoli, Camille Laurent-Gengoux +1
The purpose of this paper is to investigate shifted Poisson structures in context of differential geometry. The relevant notion is shifted Poisson structures on diffe…
Atiyah and Todd classes arising from integrable distributions
Zhuo Chen, Maosong Xiang, Ping Xu
In this paper, we study the Atiyah class and Todd class of the DG manifold corresponding to an integrable distribution $F \subset T_{\mathbb{K}} M = TM \otimes_{\mathb…