Ping Xu

collaborators

2 papers

math.DG2025

Formal geometry and Tamarkin--Tsygan calculi of dg manifolds

Hsuan-Yi Liao, Mathieu Stiénon, Ping Xu

The main goal of this paper is to study the formal geometry of dg manifolds à la Fedosov. For any dg manifold $(M, Q)$ , we construct a Fedosov dg foliation (or dg Lie alg…

math.DG2025

Kapranov $L_{\infty} [1]$ algebras

Ruggero Bandiera, Seokbong Seol, Mathieu Stiénon +1

Given any Kähler manifold $X$ , Kapranov discovered an $L_{\infty} [1]$ algebra structure on $Ω_{X}^{0, ∙} (T_{X}^{1, 0})$ . Motivated by this result, we introduce, as a generalization o…

Formal geometry and Tamarkin--Tsygan calculi of dg manifolds

Kapranov L∞​[1] algebras

Kapranov $L_{\infty} [1]$ algebras