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 ${\Omega }_X^{0,\bullet }(T_X^{1,0})$. Motivated by this result, we introduce, as a generalization o…