Back to Search
Start Over
Proof of a Conjecture on the Genus Two Free Energy Associated to the A_n Singularity
- Publication Year :
- 2013
-
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.<br />Comment: 24 pages
- Subjects :
- Mathematical Physics
Mathematics - Algebraic Geometry
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1305.1008
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.geomphys.2013.10.013