Globular weak $(n,\infty)$-Transformations ($n\in\mathbb{N}$) in the sense of Grothendieck

Abstract: This article describe globular weak $(n,\infty)$-transformations ($n\in\mathbb{N}$) in the sense of Grothendieck, i.e for each $n\in\mathbb{N}$ we build a coherator $\Theta^{\infty}_{\mathbb{M}^n}$ which sets models are globular weak $(n,\infty)$-transformations. A natural globular filtration emerges from these coherators.