For projective conifold transitions between Calabi–Yau threefolds $X$ and $Y$, with $X$ close to $Y$ in the moduli, we show that the combined information provided by the $A$ model (Gromov–Witten theory in all genera) and $B$ model (variation of Hodge structures) on $X$, linked along the vanishing cycles, determines the corresponding combined information on $Y$. Similar result holds in the reverse direction when linked with the exceptional curves.
"Towards $A+B$ theory in conifold transitions for Calabi–Yau threefolds." J. Differential Geom. 110 (3) 495 - 541, November 2018. https://doi.org/10.4310/jdg/1542423628