ASD deformation index
= ASD deformation index
{c}
{title2=$\operatorname{ind}D_A=8k-3(1-b_1+b^+)$}
For an $SU(2)$ bundle of charge $k$ on a closed oriented four-manifold, $\operatorname{ind}D_A=h_A^1-h_A^0-h_A^2=8k-3(1-b_1+b^+)$. Equivalently it is $-2p_1(\operatorname{ad}E)[X]-3(\chi+\sigma)/2$, using $p_1(\operatorname{ad}E)=-4c_2(E)$. The Euler characteristic of the deformation complex has the opposite sign.
// Destination: analysis.bigb