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- W2953017066 abstract "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." @default.
- W2953017066 created "2019-06-27" @default.
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- W2953017066 date "2005-01-21" @default.
- W2953017066 modified "2023-09-27" @default.
- W2953017066 title "Hirota Quadratic Equations for the Extended Toda Hierarchy" @default.
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