| ABSTRACT |
We study the mirror symmetry between cohomology algebras on A- and B-models. On A-model, we are given a quantum cohomology or a symplectic cohomology, and on B-model we are given a Jacobian algebra or a Koszul algebra. First we recall the Kodaira-Spencer map due to Fukaya-Oh-Ohta-Ono. Then we deal with a case when the target is not a genuine Jacobian algebra, especially when there is a finite group action hence the target is an orbifold Jacobian algebra. In this case we are led to consider more general closed-open maps which we named generalized Kodaira-Spencer maps. We also consider noncompact cases so that we need to think of symplectic cohomology and Koszul algebra respectively. This is based on the joint work with C.-H. Cho. (Please visit http://newton.kias.re.kr/~topology/ for a zoom link.) |
