1305.1008 (Yulong Fu et al.)

Proof of a Conjecture on the Genus Two Free Energy Associated to the A_n
Singularity    [PDF]

Yulong Fu, Si-Qi Liu, Youjin Zhang, Chunhui Zhou

In a recent paper [8], it is proved that the genus two free energy of an arbitrary semisimple Frobenius manifold can be represented as a sum of contributions associated with dual graphs of certain stable algebraic curves of genus two plus the so called genus two G-function, and for a certain class of Frobenius manifolds it is conjectured that the associated genus two G-function vanishes. In this paper, we prove this conjecture for the Frobenius manifolds associated with simple singularities of type A.

View original: http://arxiv.org/abs/1305.1008