Higher genus Gromov-Witten correspondences for smooth log Calabi-Yau pairs
Organizers
Speaker
Benjamin Zhou
Time
Thursday, February 13, 2025 3:00 PM - 4:00 PM
Venue
A6-101
Online
Zoom 638 227 8222
(BIMSA)
Abstract
We prove higher genus correspondences between open, closed, and logarithmic Gromov-Witten invariants that can be defined from a smooth log Calabi-Yau pair $(X, E)$ consisting of a toric Fano surface $X$ with a smooth elliptic curve $E$. Techniques such as the degeneration formula for logarithmic Gromov-Witten invariants, the Topological Vertex, and constructions from Gross-Siebert mirror symmetry are used. Time permitting, we also describe a link with $q$-refined theta functions defined from $(X,E)$ and open mirror symmetry of an outer Aganagic-Vafa brane in $K_X$. This is part of joint work with Tim Gräfnitz, Helge Ruddat, and Eric Zaslow.