ScalingStacks

Example 6.7 [0374]

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Example 6.7

For ω∈Ar,s​(W)\omega\in A^{r,s}(W), the current [ω]∈Dn−r,n−s​(W)[\omega]\in D_{n-r,n-s}(W) associated to ω\omega is defined by [ω]:=δW∧ω[\omega]:=\delta_{W}\wedge\omega and we get an injective linear map a:Ar,s​(W)→Dn−r,n−s​(W)a:A^{r,s}(W)\rightarrow D_{n-r,n-s}(W) given by a⁡(ω):=[ω]a(\omega):=[\omega].

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