6 problems

Crepant transformation conjecture. Varieties related by crepant transformations have equivalent Gromov–Witten theories.

Let $X_1$ and $X_2$ be smooth projective varieties or smooth Deligne–Mumford stacks with projective coarse moduli spaces, and let $\varphi\colon X_1\dashrightarrow X_2$ be a crepan…

Let $X$ and $Y$ be smooth varieties related by a sequence of flops. Their quantum potentials are functions defined from the corresponding Gromov–Witten invariants, and the Novikov…

Open Crepant Transformation Conjecture. Under analytic continuation in the moduli parameters, the disk potentials for the corresponding Aganagic–Vafa branes should be identified.

Crepant transformation conjecture. For each $l \in \mathbb{Z}$, there exists a gauge transformation $\Theta_l$ over $M^\circ(R_T)$ relating the two $D$-modules…

In the setting of non-equivariant genus-zero Gromov–Witten theory, let $X_-$ and $X_+$ be the spaces related by the crepant transformation under consideration, and let … be their G…