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 consider the boundary dual of AdS3xS3xK3 for NS5-flux Q5= 1, which is described by a
sigma model with target space given by the d-fold symmetric product of K3. Building on …

Let S be a nonsingular projective K 3 surface. Motivated by the study of the Gromov-Witten
theory of the Hilbert scheme of points of S, we conjecture a formula for the Gromov-Witten …

We introduce marked relative Pandharipande-Thomas (PT) invariants for a pair (X, D) of a
smooth projective threefold and a smooth divisor. These invariants are defined by …

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 …

Abstract Using reduced Gromov–Witten theory, we define new invariants which capture the
enumerative geometry of curves on holomorphic symplectic 4-folds. The invariants are …

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 …

Let $ S $ be a K3 surface. We study the reduced Donaldson-Thomas theory of the cap
$(S\times\mathbb {P}^ 1)/S_ {\infty} $ by a second cosection argument. We obtain four main …

We describe the moduli stack of Gushel–Mukai varieties as a global quotient stack and its
coarse moduli space as the corresponding GIT quotient. The construction is based on a …

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 …