Homotopy models for $L_{\infty }[1]$-algebras in higher degrees

Taesu Kim

We propose a model of higher homotopy theory of $L_{\infty }[1]$-morphisms as a natural generalization of the $A_{\infty }$-homotopies defined by Fukaya-Oh-Ohta-Ono \cite{FOOO1}. Wit…