I am referring to this paper by S. K. Donaldson. I could not find a freely available version, hence I feel uncomfortable to copy & paste parts of his paper, and won't do so. Nevertheless, I will have to reference it.
I am trying to understand the proof of part a.) of his sole Lemma (p.129). I'm fine up to and including the very last equality concerning $\Gamma_{dH}$ at the bottom of p.129. What I do not see is how pulling back this term gives the equality of definitions.
I would be very grateful if somebody could explain this to me.
Thank you.