Simple singularities and integrable hierarchies
| dc.creator | Givental, Alexander B. | |
| dc.creator | Milanov, Todor E. | |
| dc.date | 2003-07-14 | |
| dc.date.accessioned | 2026-07-07T04:59:38Z | |
| dc.date.available | 2026-07-07T04:59:38Z | |
| dc.description | 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. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0307176 | |
| dc.identifier | http://arxiv.org/abs/math/0307176 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68062 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14N35; 17B69; 32S30; 37K30 | |
| dc.title | Simple singularities and integrable hierarchies | |
| dc.type | text |