Conditions for the vanishing of the genus-2 G-function

Abstract

In this paper we give some sufficient conditions for the vanishing of the genus-2 G-function, which was introduced by B. Dubrovin, S. Liu and Y. Zhang in [DLZ]. As a corollary we prove their conjecture for the vanishing of the genus-2 G-function for ADE singularities.

30 pages, no figure. Corrected several typos

References in corpus (1)

• The Witten equation, mirror symmetry and quantum singularity theory

Cited by in corpus (1)

• Genus-2 G-function for $P^1$ orbifolds