Benjamin Zhou

activity

20162026

collaborators

5 papers

math.AG2026

Open-closed duality in higher genus and winding

Benjamin Zhou

Let $X$ be a toric Fano surface. Let $π : X \to X$ be a toric blow up at a point. We use the Topological Vertex [AKMV] to prove a higher genus, higher winding, ope…

math.AG2025

Tropicalization of super Gromov-Witten invariants

Artan Sheshmani, Shing-Tung Yau, Benjamin Zhou

We show that genus-0, $n$ Neveu-Schwarz marked, super Gromov-Witten invariants of a convex, toric variety $X$ can be defined and computed using tropical geometry. When $X$ is a poi…

math.AG2025

Higher genus Gromov-Witten invariants from projective bundles on smooth log Calabi-Yau pairs

Benjamin Zhou

Let $(X, E)$ be a smooth log Calabi-Yau pair consisting of a smooth Fano surface $X$ and a smooth anticanonical divisor $E$ . We obtain certain higher genus local Gromov-Witten invar…

math.AG2025

Enumerative Geometry of Quantum Periods

Tim Gräfnitz, Helge Ruddat, Eric Zaslow +1

We interpret the $q$ -refined theta function $ϑ_{1}$ of a log Calabi-Yau surface $(P, E)$ as a natural $q$ -refinement of the open mirror map, defined by quantum period…

math.CO2016

Connected Order Ideals and P-Partitions

Ben P. Zhou

Given a finite poset $P$ , we associate a simple graph denoted by $G_{P}$ with all connected order ideals of $P$ as vertices, and two vertices are adjacent if and only if they have no…