For blow-ups of threefolds along -curves, we use the degeneration formula and the absolute/relative correspondence to obtain some closed blow-up formulae for Gromov–Witten invariants and generalized BPS numbers.
"Gromov–Witten Invariants Under Blow-Ups Along -Curves." Michigan Math. J. 69 (3) 515 - 531, August 2020. https://doi.org/10.1307/mmj/1596700816