Penn Arts & Sciences Logo

Math-Physics Joint Seminar

Tuesday, November 1, 2022 - 5:00pm

Kai Hugtenburg

University of Edinburgh


University of Pennsylvania


This talk will review recent progress on obtaining Gromov-Witten invariants from the Fukaya category. A crucial ingredient is showing that the cyclic open-closed map, which maps the cyclic homology of the Fukaya category of X to its S1-equivariant quantum cohomology, respects connections. Along the way we will encounter R-matrices, which were used in the Givental-Teleman classification of semisimple cohomological field theories, and allow one to determine higher genus Gromov-Witten invariants from genus 0 invariants. I will then present some evidence that this approach might extend beyond the semisimple case. Time permitting, I will also explain work in progress on obtaining open Gromov-Witten invariants from the Fukaya category.