Kapranov L-infinity algebras
Organizers
Speaker
Ping Xu
Time
Thursday, November 20, 2025 3:00 PM - 4:00 PM
Venue
A6-101
Online
Zoom 638 227 8222
(BIMSA)
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.