Geometry & Physics Seminar

In 2012, Dubrovin, Liu and Zhang introduced the definition of genus-2 G-function for any semisimple Frobenius manifold. Via lots of verification, they conjectured the vanishing property of genus-2 G-function for some special cases, such as simple singularities and Fano orbifolds P1. In this talk, I will first review three formulas of genus-2 generating functions for semsimple CohFT, trying to match them term by term. Then I will give some background and some vanishing conditions for the genus-2 G-function. It is based on a joint work with Xiaobo Liu. Speaker(s): Xin Wang (Shandong University/Columbia)