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 …

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 …

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 …

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 …

arXiv:2304.06536v1 [math.AG] 13 Apr 2023 Page 1 arXiv:2304.06536v1 [math.AG] 13 Apr 2023
ON HilbSym CORRESPONDENCE FOR K3 SURFACES DENIZ GENLIK AND HSIAN-HUA …

arXiv:2306.14777v1 [math.AG] 26 Jun 2023 Page 1 QUASIMAPS TO MODULI SPACES OF
SHEAVES AND RELATED TOPICS DENIS NESTEROV Abstract. This is a review article based …

We compute odd-degree genus 1 quasimap and Gromov–Witten invariants of moduli
spaces of Higgs. We also compute certain invariants for all prime ranks. This proves some …