Hirota Quadratic Equations for the Extended Toda Hierarchy
| dc.creator | Milanov, Todor E. | |
| dc.date | 2005-01-21 | |
| dc.date | 2006-04-29 | |
| dc.date.accessioned | 2026-07-07T06:39:19Z | |
| dc.date.available | 2026-07-07T06:39:19Z | |
| dc.description | The Extended Toda Hierarchy (shortly ETH) was introduce by E. Getzler \cite{Ge} and independently by Y. Zhang \cite{Z} in order to describe an integrable hierarchy which governs the Gromov--Witten invariants of $\C P^1$. The {\em Lax type} presentation of the ETH was given in \cite{CDZ}. In this paper we give a description of the ETH in terms of {\em tau-functions} and Hirota Quadratic Equations (known also as Hirota Bilinear Equations). A new feature here is that the Hirota equations are given in terms of vertex operators taking values in the algebra of differential operators on the affine line. | |
| dc.description | 15 pages, pending final approval in Duke, this replacement is the first part of the old version | |
| dc.identifier | https://arxiv.org/abs/math/0501336 | |
| dc.identifier | http://arxiv.org/abs/math/0501336 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101033 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Hirota Quadratic Equations for the Extended Toda Hierarchy | |
| dc.type | text |