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 …

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 …

Elliptic and genus one fibered Calabi-Yau spaces play a prominent role in string theory and
mathematics. In this article we discuss a class of genus one fibered Calabi-Yau threefolds …

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 …

We study the enumerative geometry of algebraic curves on abelian surfaces and threefolds.
In the abelian surface case, the theory is parallel to the well-developed study of the reduced …

In this article, we study quasimaps to moduli spaces of sheaves on a $ K3 $ surface S. We
construct a surjective cosection of the obstruction theory of moduli spaces of $\epsilon …

A bstract In this note we describe a method to calculate the action of a particular Fourier-
Mukai transformation on a basis of brane charges on elliptically fibered Calabi-Yau …

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 …

A bstract We show that the elliptic genus of the higher rank E-strings can be computed
based solely on the genus 0 Gromov-Witten invariants of the corresponding elliptic …

In previous work, we used new mathematical relations between Gopakumar-Vafa (GV)
invariants and rank 0 Donaldson-Thomas (DT) invariants to determine the first few terms in …