Deformations of Frobenius structures on Hurwitz spaces
| dc.creator | Shramchenko, Vasilisa | |
| dc.date | 2004-08-15 | |
| dc.date | 2004-11-12 | |
| dc.date.accessioned | 2026-07-07T10:04:43Z | |
| dc.date.available | 2026-07-07T10:04:43Z | |
| dc.description | Deformations of Dubrovin's Hurwitz Frobenius manifolds are constructed. The deformations depend on $g(g+1)/2$ complex parameters where $g$ is the genus of the corresponding Riemann surface. In genus one, the flat metric of the deformed Frobenius manifold coincides with a metric associated with a one-parameter family of solutions to the Painlevé-VI equation with coefficients $(1/8,-1/8,1/8,3/8).$ Analogous deformations of the real doubles of the Hurwitz Frobenius manifolds are also found; these deformations depend on $g(g+1)/2$ real parameters. | |
| dc.description | 36 pages, minor corrections | |
| dc.identifier | https://arxiv.org/abs/math-ph/0408026 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0408026 | |
| dc.identifier | Int. Math. Res. Not. 2005, no.6, 339-387 (2005) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169783 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Differential Geometry | |
| dc.title | Deformations of Frobenius structures on Hurwitz spaces | |
| dc.type | text |