\begin{align*} X\hookrightarrow Y \quad \leadsto \quad \left.0 \longrightarrow N_{X / Y}^{\vee} \longrightarrow \Omega_{Y}\right|_{X} \longrightarrow \Omega_{X} \longrightarrow 0 \end{align*}
\begin{align*} X\hookrightarrow Y \quad \leadsto \quad \left.0 \longrightarrow N_{X / Y}^{\vee} \longrightarrow \Omega_{Y}\right|_{X} \longrightarrow \Omega_{X} \longrightarrow 0 \end{align*}