Let S be a K3 surface and let E be an elliptic curve. We solve the reduced Gromov–Witten
theory of the Calabi–Yau threefold S * ES× E for all curve classes which are primitive in the …

Block and Göttsche have defined aq-number refinement of counts of tropical curves in R^ 2
R 2. Under the change of variables q= e^ iu q= e iu, we show that the result is a generating …

We conjecture that the relative Gromov–Witten potentials of elliptic fibrations are (cycle-
valued) lattice quasi-Jacobi forms and satisfy a holomorphic anomaly equation. We prove …

We determine the Gromov-Witten invariants of the local Enriques surfaces for all genera and
curve classes and prove the Klemm-Mari\~{n} o formula. In particular, we show that the …

We conjecture that the generating series of Gromov–Witten invariants of the Hilbert schemes
of n points on a K3 surface are quasi-Jacobi forms and satisfy a holomorphic anomaly …

Gromov–Witten invariants of the Hilbert schemes of points of a K3 surface Page 1 msp
Geometry & Topology 22 (2018) 323–437 Gromov–Witten invariants of the Hilbert schemes of …

We provide an explicit construction of Ricci-flat K3 metrics. It employs the technology of D-
geometry, which in the case of interest is equivalent to a hyper-K\" ahler quotient. We relate it …

We use Noether–Lefschetz theory to study the reduced Gromov–Witten invariants of a
holomorphic-symplectic variety of-type. This yields strong evidence for a new conjectural …

Abstract Let X= S * EX= S× E be the product of a K3 surface S and an elliptic curve E.
Reduced stable pair invariants of X can be defined via (1) cutting down the reduced virtual …

Gross, Hacking and Keel have constructed mirrors of log Calabi–Yau surfaces in terms of
counts of rational curves. Using-deformed scattering diagrams defined in terms of higher …