  We prove that, given integers $m\geq 3$, $r\geq 1$ and $n\geq 0$, the moduli
space of torsion free sheaves on $\mathbb P^m$ with Chern character
$(r,0,\ldots,0,-n)$ that are trivial along a hyperplane $D \subset \mathbb P^m$
is isomorphic to the Quot scheme $\mathrm{Quot}_{\mathbb A^m}(\mathscr
O^{\oplus r},n)$ of $0$-dimensional length $n$ quotients of the free sheaf
$\mathscr O^{\oplus r}$ on $\mathbb A^m$.
