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arXiv · 1305.1008

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

Yulong Fu·Si-Qi Liu·Youjin Zhang·Chunhui Zhou
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Abstract

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.

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Yulong Fu, Si-Qi Liu, Youjin Zhang, Chunhui Zhou. 2013-05-05. Proof of a Conjecture on the Genus Two Free Energy Associated to the A_n Singularity. https://doi.org/10.1016/j.geomphys.2013.10.013

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