Gromov--Witten/Pandharipande--Thomas correspondence via conifold transitions

Abstract

Given a (projective) conifold transition of smooth projective threefolds from $X$ to $Y$, we show that if the Gromov--Witten/Pandharipande--Thomas descendent correspondence holds for the resolution $Y$, then it also holds for the smoothing $X$ with stationary descendent insertions. As applications, we show the correspondence in new cases.

23 pages;v3-various typos corrected;v2-We add the reference to John Pardon's work and point out our results are not covered by his

References in corpus (2)

• Relative orbifold Pandharipande-Thomas theory and the degeneration formula
• Marked relative invariants and GW/PT correspondences