Its symbol σ(x,υ) is the wedge-product ω ↦ iυ ∧ ω (as a linear map). The cohomology groups Hⁱ will also be denoted by Hⁱdeʀhαm · By the theorem of de Rham,we have
HⁱdeRhαm=Hⁱ(X;ℂ).
indα(d)=∑(–1)ⁱdim(HⁱdeRhαm)=e(X).
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