Tri-hamiltonian Toda lattice and a canonical bracket for closed discrete curves

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dc.creatorKutz, Nadja
dc.date2003-04-07
dc.date.accessioned2026-07-07T04:56:40Z
dc.date.available2026-07-07T04:56:40Z
dc.descriptionFlows on (or variations of) discrete curves in $\R^2$ give rise to flows on a subalgebra of functions on that curve. For a special choice of flows and a certain subalgebra this is described by the Toda lattice hierachy. In the paper it is shown that the canonical symplectic structure on $\R^{2N}$, which can be interpreted as the phase space of closed discrete curves in $\R^2$ with length $N,$ induces Poisson commutation relations on the above mentioned subalgebra which yield the tri-hamiltonian poisson structure of the Toda lattice hierachy.
dc.identifierhttps://arxiv.org/abs/math/0304083
dc.identifierhttp://arxiv.org/abs/math/0304083
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67003
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject52C99;53D17;70H06 (primary) 53Z02 (secondary)
dc.titleTri-hamiltonian Toda lattice and a canonical bracket for closed discrete curves
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