Kapranov L-infinity algebras
发布时间:2026年05月06日
浏览次数:84
发布者: Ruixin Li
主讲人: Ping Xu (University of Auckland)
活动时间: 从 2026-05-26 14:00 到 15:00
场地: 北京国际数学研究中心,全斋全29教室
Abstract: In his study of Rozansky–Witten invariants, Kapranov discovered a natural $L_\infty[1]$-algebra structure on the Dolbeault complex $\Omega^{0, \bullet}(T_X^{1, 0})$ of an arbitrary Kähler manifold $X$, where all multibrackets are $\Omega^{0, \bullet}(X)$-multilinear except for the unary bracket. Motivated by this example, we introduce an abstract notion of Kapranov L-infinity algebras, and prove that associated to any dg Lie algebroid, there is a natural Kapranov L-infinity algebra. We also discuss the linearization problem. This is a joint work with Ruggero Bandiera, Seokbong Seol, and Mathieu Stiénon.
