Mathematics – Algebraic Geometry
Scientific paper
2003-07-14
Mathematics
Algebraic Geometry
24 pages
Scientific paper
The paper math.AG/0108100 gives a construction of the total descendent potential corresponding to a semisimple Frobenius manifold. In math.AG/0209205, it is proved that the total descendent potential corresponding to K. Saito's Frobenius structure on the parameter space of the miniversal deformation of the A_{n-1}-singularity satisfies the modulo-n reduction of the KP-hierarchy. In this paper, we identify the hierarchy satisfied by the total descendent potential of a simple singularity of the A,D,E-type. Our description of the hierarchy is parallel to the vertex operator construction of Kac -- Wakimoto except that we give both some general integral formulas and explicit numerical values for certain coefficients which in the Kac -- Wakimoto theory are studied on a case-by-case basis and remain, generally speaking, unknown.
Givental Alexander B.
Milanov Todor E.
No associations
LandOfFree
Simple singularities and integrable hierarchies does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Simple singularities and integrable hierarchies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Simple singularities and integrable hierarchies will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-381975