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 …

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 …

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 moduli spaces of objects in the derived category of noncommutative ruled surfaces
over orbifold curves to find equivariant deformations of moduli spaces of framed sheaves on …

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 …

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 …

We determine the quantum multiplication with divisor classes on the Hilbert scheme of
points on an elliptic surface $ S\to\Sigma $ for all curve classes which are contracted by the …

Let $\pi: X\to B $ be an elliptically fibered threefold satisfying $ c_3 (T_X\otimes\omega_X)=
0$. We conjecture that the $\pi $-relative generating series of Pandharipande-Thomas …

We study the structure of higher genus Gromov-Witten theory of the quotient stack [C n/Z n].
We prove holomorphic anomaly equations for [C n/Z n], generalizing previous results of Lho …

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 …