Isomonodromic deformation of resonant rational connections
| dc.creator | Bertola, Marco | |
| dc.creator | Mo, Man Yue | |
| dc.date | 2005-10-05 | |
| dc.date.accessioned | 2026-07-07T09:29:45Z | |
| dc.date.available | 2026-07-07T09:29:45Z | |
| dc.description | We analyze isomonodromic deformations of rational connections on the Riemann sphere with Fuchsian and irregular singularities. The Fuchsian singularities are allowed to be of arbitrary resonant index; the irregular singularities are also allowed to be resonant in the sense that the leading coefficient matrix at each singularity may have arbitrary Jordan canonical form, with a genericity condition on the Lidskii submatrix of the subleading term. We also give the relevant notion of isomonodromic tau function extending the one of non-resonant deformations introduced by Miwa-Jimbo-Ueno. The tau function is expressed purely in terms of spectral invariants of the matrix of the connection. | |
| dc.description | 48 pages | |
| dc.identifier | https://arxiv.org/abs/nlin/0510011 | |
| dc.identifier | http://arxiv.org/abs/nlin/0510011 | |
| dc.identifier | Int. Math. Res. Papers, (2005), Vol. 2005 Issue 11, Pag. 565-635 | |
| dc.identifier | doi:10.1155/IMRP.2005.565 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157899 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Isomonodromic deformation of resonant rational connections | |
| dc.type | text |