Two rigid algebras and a heat kernel

Homological Mirror Symmetry Mini-workshop
Topic:Two rigid algebras and a heat kernel
Speaker:Amitai Zernik
Affiliation:Member, School of Mathematics
Date:Friday, April 7
Time/Room:10:00am - 11:00am/S-101
Video Link:https://video.ias.edu/homomirrorsym/2017/0407-AmitaiZernik

Consider the Fukaya A8 algebra $E$ of $RP^{2m}$ in $CP^{2m}$ (with bulk and equivariant deformations, over the Novikov ring). On the one hand, elementary algebraic considerations show that E admis a rigid cyclic minimal model, whose structure constants encode the associated open Gromov-Witten invariants. On the other hand, in a recent paper another rigid minimal model was computed explicitly, using fixed-point localization for A8 algebras. In this talk I'll discuss these two models and explain how to use the heat kernel on $RP^{2m}$ to relate them.