\documentclass{amsart}

\newcommand{\pathtotrunk}{../../}
\input{\pathtotrunk text/article_preamble.tex}

\pagestyle{empty}

\begin{document}
\thispagestyle{empty}

module composition

action

$n$-category composition

\newcommand{\cN}{\mathcal{N}}
$N_0 N_1 N_2 N_3 M_0 M_1 M_2 M_3 I$

$R_0 R_4$

$n-\abs{\Gamma}$ edges

$v$
$\Gamma$

\begin{align*}
abmab & \\
v_1 v_2 v_3 v_4 A
\end{align*}
\end{document}