A proof of The Radial Limit Conjecture for Costantino--Geer--Patureau-Mirand Quantum invariants

For a negative definite plumbed three-manifold, we give an integral representation of the appropriate average of the GPPV invariants of Gukov–Pei–Putrov–Vafa, which implies that this average admits a resurgent asymptotic expansion, the leading term of which is the Costantino–Geer–Patureau-Mirand invariant of the three-manifold. This proves a conjecture of Costantino–Gukov–Putrov.