Definition: XIV-G's residual test; copied

Let $M={\mathbb{R}}^4$, $W={\mathbb{R}}^{16}$ with coordinates $(a,b,z,y)$, $a,b,z,y\in M$ Grelease,Ichart, and $Z={{\mathbb{R}}^4}_z$ the attachment variable. XIV-G's residual test is a section $G\in {C^{\infty }}_c(Z;{\mathrm{Sym}}^2{T}^{\ast }M)$, and XIV-G states that the residual pairing ${\mathrm{JD}}^{\prime }[G]$ has order at most two Gresidual. XIV-G does not define a bundle $E_{\mathrm{res}}$ over $W$.