Abstract In 2008, Klemm–Pandharipande defined Gopakumar–Vafa type invariants of a
Calabi–Yau 4-folds using Gromov–Witten theory. Recently, Cao–Maulik–Toda proposed a …

We propose an intersection-theoretic method to reduce questions in genus 0 logarithmic
Gromov–Witten theory to questions in the Gromov–Witten theory of smooth pairs, in the …

The mirror dual of a smooth toric Fano surface X equipped with an anticanonical divisor E is
a Landau–Ginzburg model with superpotential, W. Carl–Pumperla–Siebert give a definition …

The knots-quivers correspondence states that various characteristics of a knot are encoded
in the corresponding quiver and the moduli space of its representations. However, this …

In, we established a series of correspondences relating five enumerative theories of log
Calabi–Yau surfaces, ie pairs (Y, D) with Y a smooth projective complex surface and D= D …

Let $(S, E) $ be a log Calabi-Yau surface pair with $ E $ a smooth divisor. We define new
conjecturally integer-valued counts of $\mathbb {A}^ 1$-curves in $(S, E) $. These log BPS …

We establish a correspondence between the disk invariants of a smooth toric Calabi-Yau 3-
fold X with boundary condition specified by a framed Aganagic-Vafa outer brane (L, f) and …

We prove the integrality and finiteness of open BPS invariants of toric Calabi–Yau 3-folds
relative to Aganagic–Vafa outer branes, defined from open Gromov–Witten invariants by the …

We continue the mathematical development of the open/closed correspondence proposed
by Mayr and Lerche-Mayr. Given an open geometry on a toric Calabi-Yau 3-orbifold …

This survey covers recent developments on the geometry and physics of Looijenga pairs,
namely pairs (X, D) with X a complex algebraic surface and D a singular anticanonical …