165 citations · 1.1k across the 63 of their papers we have counts for
66 papers
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…
Quantization of (-1)-Shifted Derived Poisson Manifolds
Kai Behrend, Matt Peddie, Ping Xu
We investigate the quantization problem of -shifted derived Poisson manifolds in terms of $\BV_\infty$-operators on the space of Berezinian half-densities. We prove that quan…
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…
Polyvector fields and polydifferential operators associated with Lie pairs
Ruggero Bandiera, Mathieu Stiénon, Ping Xu
We prove that the spaces and $\operatorname{tot}\big(Γ(Λ^\bullet A^\vee)\otime…