@article {2012,
title = {On the genus two free energies for semisimple Frobenius manifolds},
journal = {Russian Journal of Mathematical Physics. Volume 19, Issue 3, September 2012, Pages 273-298},
number = {arXiv:1205.5990;},
year = {2012},
note = {36 pages, 3 figures},
publisher = {SISSA},
abstract = {We represent the genus two free energy of an arbitrary semisimple Frobenius\\r\\nmanifold as a sum of contributions associated with dual graphs of certain\\r\\nstable algebraic curves of genus two plus the so-called \\\"genus two G-function\\\".\\r\\nConjecturally the genus two G-function vanishes for a series of important\\r\\nexamples of Frobenius manifolds associated with simple singularities as well as\\r\\nfor ${\\\\bf P}^1$-orbifolds with positive Euler characteristics. We explain the\\r\\nreasons for such Conjecture and prove it in certain particular cases.},
doi = {10.1134/S1061920812030028},
url = {http://hdl.handle.net/1963/6464},
author = {Boris Dubrovin and Si-Qi Liu and Youjin Zhang}
}