  This paper combines the post-Minkowskian expansion of general relativity with
the language of intersection theory. Due to the nature of the soft limit
inherent to the post-Minkowskian expansion, the intersection-based approach is
of enhanced utility in that theory compared to a generic QFT. In the language
of intersection theory, Feynman integrals are rephrased in terms of twisted
cocycles. The intersection number is a pairing between two such cocycles and
its existence allows for the direct projection onto a basis of master
integrals. In this paper we use this approach to compute the 2PM contribution
to the scattering of two compact astronomical objects, getting results in
agreement with previous findings.
