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I was thinking/hoping now that a general approach to perturbative QFT should exist, where all Feynman amplitudes are regarded not as singular distributions on $M^n$, but as smooth differential forms on the FM-compactification of the configuration space of $n$ points. Mentioning this hunch to Igor Khavkine, he immediately recalled having heard Marko Berghoff speak about developing just that in his thesis Berghoff 14.
added pointer to
on which Berghoff’s development is based
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