TOWARDS A plus B THEORY IN CONIFOLD TRANSITIONS FOR CALABI-YAU THREEFOLDS
Journal
Journal of Differential Geometry
Journal Volume
110
Journal Issue
3
Pages
495-541
Date Issued
2018
Author(s)
Abstract
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.
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