Does anyone have read their famous paper'the moment map and equivariant cohomology'. I have some trouble . IN the original paper page 13,the equalities between (4.18)and (4.19) is $D\lambda a=D(a-i(X)a\theta)=da-i(X)da \theta + i(X)au$ , i think it should be $D\lambda a=D(a-i(X)a\theta)=da+i(X)da\theta + i(X)au$ where the minus is killed by $\mathcal{L}(X)=i(X)d+di(X)$ , any one can tell me what it should be ,thank you!

Has anyone read Atiyah and Bott's famous paper "The moment map and equivariant cohomology"?

I have some trouble with the equaations appearing between equations (4.18) and (4.19) in page 13 of the original paper. The paper claims $$D\lambda a = D(a-i(X)a\theta) = da-i(X)da \theta + i(X)au,$$ whereas I think that it should be $$D\lambda a=D(a-i(X)a\theta)=da+i(X)da\theta + i(X)au,$$ where the minus sign is due to $\mathcal{L}(X)a=i(X)da+di(X)a = 0$.

Can anyone tell me what it should be?

Thank you!

Does anyone have read their famous paper'the moment map and equivariant cohomology'. I may find some error in it . IN the original paper page 13,the equalities between (4.18)and (4.19) is $D\lambda a=D(a-i(X)a\theta)=da-i(X)da \theta + i(X)au$ , i think it should be $D\lambda a=D(a-i(X)a\theta)=da+i(X)da\theta + i(X)au$ where the minus is killed by $\mathcal{L}(X)=i(X)d+di(X)$ ,so if it is really wrong ,the following in their paper may not be very as it be in the paper!

Does anyone have read their famous paper'the moment map and equivariant cohomology'. I have some trouble . IN the original paper page 13,the equalities between (4.18)and (4.19) is $D\lambda a=D(a-i(X)a\theta)=da-i(X)da \theta + i(X)au$ , i think it should be $D\lambda a=D(a-i(X)a\theta)=da+i(X)da\theta + i(X)au$ where the minus is killed by $\mathcal{L}(X)=i(X)d+di(X)$ , any one can tell me what it should be ,thank you!

Has anyone read their famous paper 'The moment map and equivariant cohomology'. I may have found some error in it . In the original paper page 13, the equalities between (4.18) and (4.19) $D\lambda a=D(a-i(X)a\theta)=da-i(X)da \theta + i(X)au$ may have something wrong, it should be $D\lambda a=D(a-i(X)a\theta)=da+i(X)da\theta + i(X)au$ where the minus is killed by $\mathcal{L}(X)=i(X)d+di(X)$, so if it is really wrong, the following in their paper may not be very as it be in the paper!

Does anyone have read their famous paper'the moment map and equivariant cohomology'. I may find some error in it . IN the original paper page 13,the equalities between (4.18)and (4.19) is $D\lambda a=D(a-i(X)a\theta)=da-i(X)da \theta + i(X)au$ , i think it should be $D\lambda a=D(a-i(X)a\theta)=da+i(X)da\theta + i(X)au$ where the minus is killed by $\mathcal{L}(X)=i(X)d+di(X)$  ,so if it is really wrong  ,the following in their paper may not be very as it be in the paper!